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87516 = 2232111317
BaseRepresentation
bin10101010111011100
311110001100
4111113130
510300031
61513100
7513102
oct252734
9143040
1087516
115a830
1242790
1330ab0
1423c72
151ade6
hex155dc

87516 has 72 divisors (see below), whose sum is σ = 275184. Its totient is φ = 23040.

The previous prime is 87511. The next prime is 87517. The reversal of 87516 is 61578.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 87516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5140 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

287516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

87516 is an abundant number, since it is smaller than the sum of its proper divisors (187668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87516 is a wasteful number, since it uses less digits than its factorization.

87516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 46 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 87516 is about 295.8310328549. The cubic root of 87516 is about 44.3979059154.

The spelling of 87516 in words is "eighty-seven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1122 1287 1326 1683 1716 1989 2244 2431 2574 2652 3366 3978 4862 5148 6732 7293 7956 9724 14586 21879 29172 43758 87516