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252166920 = 23352101391
BaseRepresentation
bin11110000011111…
…00001100001000
3122120111101222120
433001330030020
51004023320140
641004451240
76151245345
oct1701741410
9576441876
10252166920
1111a383815
1270549b20
1340320ac5
14256c17cc
15172111d0
hexf07c308

252166920 has 32 divisors (see below), whose sum is σ = 756501120. Its totient is φ = 67244480.

The previous prime is 252166913. The next prime is 252166939. The reversal of 252166920 is 29661252.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050576 + ... + 1050815.

It is an arithmetic number, because the mean of its divisors is an integer number (23640660).

Almost surely, 2252166920 is an apocalyptic number.

252166920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252166920 is an abundant number, since it is smaller than the sum of its proper divisors (504334200).

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

252166920 is a wasteful number, since it uses less digits than its factorization.

252166920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101405 (or 2101401 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 252166920 is about 15879.7644818807. The cubic root of 252166920 is about 631.7753901943.

The spelling of 252166920 in words is "two hundred fifty-two million, one hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2101391 4202782 6304173 8405564 10506955 12608346 16811128 21013910 25216692 31520865 42027820 50433384 63041730 84055640 126083460 252166920