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87051132 = 223371131019
BaseRepresentation
bin1010011000001…
…00101101111100
320001210122201000
411030010231330
5134241114012
612345450300
72104631250
oct514045574
9201718630
1087051132
1145157893
12251a0990
131505b95c
14b7c0260
157997ddc
hex5304b7c

87051132 has 96 divisors (see below), whose sum is σ = 260467200. Its totient is φ = 24627456.

The previous prime is 87051119. The next prime is 87051143. The reversal of 87051132 is 23115078.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 87051096 and 87051105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84919 + ... + 85937.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 287051132 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 87051132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

87051132 is an abundant number, since it is smaller than the sum of its proper divisors (173416068).

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

87051132 is a wasteful number, since it uses less digits than its factorization.

87051132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

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

The square root of 87051132 is about 9330.1196133812. The cubic root of 87051132 is about 443.1915529567.

The spelling of 87051132 in words is "eighty-seven million, fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1017 1019 1356 1582 2034 2038 2373 3051 3057 3164 4068 4076 4746 6102 6114 7119 7133 9171 9492 12204 12228 14238 14266 18342 21357 21399 27513 28476 28532 36684 42714 42798 55026 64197 85428 85596 110052 115147 128394 192591 230294 256788 345441 385182 460588 690882 770364 806029 1036323 1381764 1612058 2072646 2418087 3108969 3224116 4145292 4836174 6217938 7254261 9672348 12435876 14508522 21762783 29017044 43525566 87051132