Number of the day: 2410

Bernhard Riemann was born on this day 194 years ago.

Properties of the number 2410:

2410 is the 646^th totient number.
2410 = 2 × 5 × 241 is a sphenic number and squarefree.
2410 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 960 totatives.
2410 has a prime digit sum 7 in base 10.
2410 is the difference of 2 positive pentagonal numbers in 2 ways.
2410 = 27² + 41² = 3² + 49² is the sum of 2 positive squares in 2 ways.
2410 = 5² + 33² + 36² is the sum of 3 positive squares.
2410² = 1446² + 1928² = 952² + 2214² = 294² + 2392² = 1200² + 2090² is the sum of 2 positive squares in 4 ways.
2410² is the sum of 3 positive squares.
2410 is a proper divisor of 659⁴ - 1.
2410 is palindromic in (at least) the following bases: 15, -16, -29, -43, and -73.
2410 in base 4 = 211222 and consists of only the digits '1' and '2'.
2410 in base 15 = aaa and consists of only the digit 'a'.
2410 in base 18 = 77g and consists of only the digits '7' and 'g'.
2410 in base 24 = 44a and consists of only the digits '4' and 'a'.
2410 in base 28 = 322 and consists of only the digits '2' and '3'.
2410 in base 34 = 22u and consists of only the digits '2' and 'u'.

The number 2410 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000094: Number of trees of diameter 4.
A025591: Maximal coefficient of Product_{k<=n} (x^k+1). Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0 or 1.
A047966: a(n) = Sum_{ d divides n } q(d), where q(d) = A000009 = number of partitions of d into distinct parts.
A063866: Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 1.
A102726: Number of compositions of the integer n into positive parts that avoid a fixed pattern of three letters.
A121030: Multiples of 10 containing a 10 in their decimal representation.
A179888: Starting with a(1)=2: if m is a term then also 4*m+1 and 4*m+2.
A220010: T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array
A242994: Numbers n such that n!3 - 3 is prime, where n!3 = n!!! is a triple factorial number (A007661).
A283784: T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements.