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87057090 = 23251396959
BaseRepresentation
bin1010011000001…
…10001011000010
320001210221212200
411030012023002
5134241311330
612345534030
72104654521
oct514061302
9201727780
1087057090
114516130a
12251a4316
1315061593
14b7c24b8
157999a60
hex53062c2

87057090 has 48 divisors (see below), whose sum is σ = 228009600. Its totient is φ = 23044896.

The previous prime is 87057079. The next prime is 87057097. The reversal of 87057090 is 9075078.

87057090 is a `hidden beast` number, since 87 + 0 + 570 + 9 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (87057097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9031 + ... + 15989.

It is an arithmetic number, because the mean of its divisors is an integer number (4750200).

Almost surely, 287057090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87057090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114004800).

87057090 is an abundant number, since it is smaller than the sum of its proper divisors (140952510).

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

87057090 is a wasteful number, since it uses less digits than its factorization.

87057090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 87057090 is about 9330.4388964293. The cubic root of 87057090 is about 443.2016637769.

The spelling of 87057090 in words is "eighty-seven million, fifty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 6959 12510 13918 20877 34795 41754 62631 69590 104385 125262 208770 313155 626310 967301 1934602 2901903 4836505 5803806 8705709 9673010 14509515 17411418 29019030 43528545 87057090