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252053960 = 23543146543
BaseRepresentation
bin11110000011000…
…00100111001000
3122120021200000212
433001200213020
51004011211320
641002220252
76150265124
oct1701404710
9576250025
10252053960
1111a306964
12704b4688
13402b1572
1425692584
15171dc9c5
hexf0609c8

252053960 has 32 divisors (see below), whose sum is σ = 580314240. Its totient is φ = 98476224.

The previous prime is 252053939. The next prime is 252053969. The reversal of 252053960 is 69350252.

It is not an unprimeable number, because it can be changed into a prime (252053969) 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, 71552 + ... + 74991.

It is an arithmetic number, because the mean of its divisors is an integer number (18134820).

Almost surely, 2252053960 is an apocalyptic number.

252053960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252053960 is an abundant number, since it is smaller than the sum of its proper divisors (328260280).

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

252053960 is a wasteful number, since it uses less digits than its factorization.

252053960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146597 (or 146593 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 252053960 is about 15876.2073556627. The cubic root of 252053960 is about 631.6810399825.

The spelling of 252053960 in words is "two hundred fifty-two million, fifty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 146543 293086 586172 732715 1172344 1465430 2930860 5861720 6301349 12602698 25205396 31506745 50410792 63013490 126026980 252053960