Number of the day: 3770

L. E. J. Brouwer was born on this day 140 years ago.

Luitzen Egbertus Jan Brouwer was born on this day 140 years ago.

Joseph Leo Doob was born on this day 111 years ago.

Properties of the number 3770:

3770 = 2 × 5 × 13 × 29 is the 3244^th composite number and is squarefree.
3770 has 4 distinct prime factors, 16 divisors, 13 antidivisors and 1344 totatives.
3770 has an emirp digit sum 17 in base 10.
3770 is the difference of 2 positive pentagonal numbers in 3 ways.
3770 = 31² + 53² = 17² + 59² = 37² + 49² = 7² + 61² is the sum of 2 positive squares in 4 ways.
3770 = 11² + 20² + 57² is the sum of 3 positive squares.
3770² = 2262² + 3016² = 624² + 3718² = 442² + 3744² = 2006² + 3192² = 928² + 3654² = 1848² + 3286² = 1914² + 3248² = 1032² + 3626² = 854² + 3672² = 1520² + 3450² = 1450² + 3480² = 1350² + 3520² = 2600² + 2730² is the sum of 2 positive squares in 13 ways.
3770² is the sum of 3 positive squares.
3770 is a proper divisor of 521² - 1.
3770 = '377' + '0' is the concatenation of 2 Fibonacci numbers.
3770 is palindromic in (at least) the following bases: 12, 17, 64, -17, -20, and -22.
3770 in base 4 = 322322 and consists of only the digits '2' and '3'.
3770 in base 8 = 7272 and consists of only the digits '2' and '7'.
3770 in base 12 = 2222 and consists of only the digit '2'.
3770 in base 17 = d0d and consists of only the digits '0' and 'd'.
3770 in base 18 = bb8 and consists of only the digits '8' and 'b'.
3770 in base 19 = a88 and consists of only the digits '8' and 'a'.
3770 in base 21 = 8bb and consists of only the digits '8' and 'b'.

The number 3770 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A006039: Primitive non-deficient numbers.
A008892: Aliquot sequence starting at 276.
A022266: a(n) = n*(9*n - 1)/2.
A050381: Number of series-reduced planted trees with n leaves of 2 colors.
A071395: Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers).
A083209: Numbers with exactly one subset of their sets of divisors such that the complement has the same sum.
A097102: Numbers n that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 13 ways.
A249551: Numbers k such that there are precisely 8 groups of order k.
A319254: Array read by antidiagonals: T(n,k) is the number of series-reduced rooted trees with n leaves of k colors.
A326627: Sum of all the parts in the partitions of n into 10 squarefree parts.