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87632076 = 223717109563
BaseRepresentation
bin1010011100100…
…10100011001100
320002220011121110
411032102203030
5134413211301
612410132020
72112601050
oct516224314
9202804543
1087632076
1145514304
1225421010
13152031cc
14b8d1c60
157a600d6
hex53928cc

87632076 has 96 divisors (see below), whose sum is σ = 250145280. Its totient is φ = 23307264.

The previous prime is 87632063. The next prime is 87632089. The reversal of 87632076 is 67023678.

It is an interprime number because it is at equal distance from previous prime (87632063) and next prime (87632089).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155371 + ... + 155933.

It is an arithmetic number, because the mean of its divisors is an integer number (2605680).

Almost surely, 287632076 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 87632076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125072640).

87632076 is an abundant number, since it is smaller than the sum of its proper divisors (162513204).

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

87632076 is a wasteful number, since it uses less digits than its factorization.

87632076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 87632076 is about 9361.2005640302. The cubic root of 87632076 is about 444.1752615455.

The spelling of 87632076 in words is "eighty-seven million, six hundred thirty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 109 119 204 218 238 327 357 436 476 563 654 714 763 1126 1308 1428 1526 1689 1853 2252 2289 3052 3378 3706 3941 4578 5559 6756 7412 7882 9156 9571 11118 11823 12971 15764 19142 22236 23646 25942 28713 38284 38913 47292 51884 57426 61367 66997 77826 114852 122734 133994 155652 184101 200991 245468 267988 368202 401982 429569 736404 803964 859138 1043239 1288707 1718276 2086478 2577414 3129717 4172956 5154828 6259434 7302673 12518868 14605346 21908019 29210692 43816038 87632076