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86931520 = 2651320897
BaseRepresentation
bin1010010111001…
…11100001000000
320001120120121221
411023213201000
5134223302040
612343124424
72103622444
oct513474100
9201516557
1086931520
1145085a35
1225143714
1315019390
14b78c824
15797274a
hex52e7840

86931520 has 56 divisors (see below), whose sum is σ = 222939864. Its totient is φ = 32096256.

The previous prime is 86931503. The next prime is 86931553. The reversal of 86931520 is 2513968.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 84345856 = 1608^2 + 9184^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6289 + ... + 14608.

It is an arithmetic number, because the mean of its divisors is an integer number (3981069).

Almost surely, 286931520 is an apocalyptic number.

86931520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86931520 is an abundant number, since it is smaller than the sum of its proper divisors (136008344).

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

86931520 is a wasteful number, since it uses less digits than its factorization.

86931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20927 (or 20917 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 86931520 is about 9323.7074171169. The cubic root of 86931520 is about 442.9884718281.

The spelling of 86931520 in words is "eighty-six million, nine hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 20897 41794 83588 104485 167176 208970 271661 334352 417940 543322 668704 835880 1086644 1337408 1358305 1671760 2173288 2716610 3343520 4346576 5433220 6687040 8693152 10866440 17386304 21732880 43465760 86931520