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87057840 = 2435362741
BaseRepresentation
bin1010011000001…
…10010110110000
320001210222220110
411030012112300
5134241322330
612345541320
72104656642
oct514062660
9201728813
1087057840
1145161931
12251a4840
1315061a1c
14b7c2892
157999db0
hex53065b0

87057840 has 40 divisors (see below), whose sum is σ = 269880048. Its totient is φ = 23215360.

The previous prime is 87057823. The next prime is 87057847. The reversal of 87057840 is 4875078.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87057847) by changing a digit.

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, 181131 + ... + 181610.

Almost surely, 287057840 is an apocalyptic number.

87057840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87057840 is an abundant number, since it is smaller than the sum of its proper divisors (182822208).

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

87057840 is a wasteful number, since it uses less digits than its factorization.

87057840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362757 (or 362751 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 87057840 is about 9330.4790873781. The cubic root of 87057840 is about 443.2029365061.

The spelling of 87057840 in words is "eighty-seven million, fifty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 362741 725482 1088223 1450964 1813705 2176446 2901928 3627410 4352892 5441115 5803856 7254820 8705784 10882230 14509640 17411568 21764460 29019280 43528920 87057840