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87141024 = 2532302573
BaseRepresentation
bin1010011000110…
…10101010100000
320001222020000100
411030122222200
5134302003044
612351422400
72105454315
oct514325240
9201866010
1087141024
1145209383
1225224a00
1315090849
14b804d0c
1579b4869
hex531aaa0

87141024 has 36 divisors (see below), whose sum is σ = 247808106. Its totient is φ = 29046912.

The previous prime is 87141013. The next prime is 87141079. The reversal of 87141024 is 42014178.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 34433424 = 7260^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 150999 + ... + 151574.

Almost surely, 287141024 is an apocalyptic number.

It is an amenable number.

87141024 is an abundant number, since it is smaller than the sum of its proper divisors (160667082).

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

87141024 is a wasteful number, since it uses less digits than its factorization.

87141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302589 (or 302578 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87141024 is about 9334.9356719797. The cubic root of 87141024 is about 443.3440521023.

The spelling of 87141024 in words is "eighty-seven million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 302573 605146 907719 1210292 1815438 2420584 2723157 3630876 4841168 5446314 7261752 9682336 10892628 14523504 21785256 29047008 43570512 87141024