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916690120 = 23553432401
BaseRepresentation
bin110110101000111…
…001010011001000
32100212220200102221
4312220321103020
53334133040440
6230543503424
731500510643
oct6650712310
92325820387
10916690120
114304a1945
12216bb7b74
13117bbb3b8
1489a62a5a
1555726d4a
hex36a394c8

916690120 has 32 divisors (see below), whose sum is σ = 2101473720. Its totient is φ = 359756800.

The previous prime is 916690091. The next prime is 916690129. The reversal of 916690120 is 21096619.

It can be written as a sum of positive squares in 4 ways, for example, as 884586564 + 32103556 = 29742^2 + 5666^2 .

It is a super-2 number, since 2×9166901202 = 1680641552211228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (916690129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214081 + ... + 218320.

Almost surely, 2916690120 is an apocalyptic number.

It is an amenable number.

916690120 is an abundant number, since it is smaller than the sum of its proper divisors (1184783600).

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

916690120 is a wasteful number, since it uses less digits than its factorization.

916690120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432465 (or 432461 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 916690120 is about 30276.8908575501. The cubic root of 916690120 is about 971.4210651504.

The spelling of 916690120 in words is "nine hundred sixteen million, six hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 432401 864802 1729604 2162005 3459208 4324010 8648020 17296040 22917253 45834506 91669012 114586265 183338024 229172530 458345060 916690120