Tuesday, October 27, 2020

Number of the day: 59651

Properties of the number 59651:

59651 is a cyclic number.
59651 is the 6029th prime.
59651 has 33 antidivisors and 59650 totatives.
59651 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 59651 results in a sphenic number.
59651 = (138 × 139)/2 + … + (143 × 144)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
59651 = 298262 - 298252 is the difference of 2 nonnegative squares in 1 way.
59651 is the difference of 2 positive pentagonal numbers in 1 way.
59651 = 12 + 592 + 2372 is the sum of 3 positive squares.
596512 is the sum of 3 positive squares.
59651 is a proper divisor of 171193 - 1.
59651 is an emirp in (at least) the following bases: 7, 11, 19, 22, 23, 25, 31, 33, 36, 40, 50, 58, 59, 61, 65, 66, 72, 73, and 97.
59651 is palindromic in (at least) the following bases: 71, and -44.
59651 in base 40 = bBB and consists of only the digits 'B' and 'b'.

The number 59651 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A159071: Primes which are the sum of 6 consecutive triangular numbers A000217.

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