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87187104 = 253433637
BaseRepresentation
bin1010011001001…
…01111010100000
320002001120020000
411030211322200
5134304441404
612352420000
72106035544
oct514457240
9202046200
1087187104
114523aa64
1225247600
13150a8804
14b817a24
1579c3339
hex5325ea0

87187104 has 60 divisors (see below), whose sum is σ = 256422474. Its totient is φ = 29061504.

The previous prime is 87187103. The next prime is 87187127. The reversal of 87187104 is 40178178.

It can be written as a sum of positive squares in only one way, i.e., 85599504 + 1587600 = 9252^2 + 1260^2 .

It is a super-2 number, since 2×871871042 = 15203182207813632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87187103) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14227 + ... + 19410.

Almost surely, 287187104 is an apocalyptic number.

It is an amenable number.

87187104 is an abundant number, since it is smaller than the sum of its proper divisors (169235370).

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

87187104 is a wasteful number, since it uses less digits than its factorization.

87187104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33659 (or 33642 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 87187104 is about 9337.4034934772. The cubic root of 87187104 is about 443.4221848158.

The spelling of 87187104 in words is "eighty-seven million, one hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 33637 67274 100911 134548 201822 269096 302733 403644 538192 605466 807288 908199 1076384 1210932 1614576 1816398 2421864 2724597 3229152 3632796 4843728 5449194 7265592 9687456 10898388 14531184 21796776 29062368 43593552 87187104