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252813060 = 223253145307
BaseRepresentation
bin11110001000110…
…01111100000100
3122121201020022200
433010121330010
51004210004220
641030354500
76156606213
oct1704317404
9577636280
10252813060
1111a785215
12707bba30
13404b8c36
142580d07a
15172dc890
hexf119f04

252813060 has 72 divisors (see below), whose sum is σ = 791621376. Its totient is φ = 65240640.

The previous prime is 252813013. The next prime is 252813083. The reversal of 252813060 is 60318252.

252813060 is a `hidden beast` number, since 2 + 528 + 130 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17074 + ... + 28233.

Almost surely, 2252813060 is an apocalyptic number.

252813060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252813060 is an abundant number, since it is smaller than the sum of its proper divisors (538808316).

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

252813060 is a wasteful number, since it uses less digits than its factorization.

252813060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45353 (or 45348 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 252813060 is about 15900.0962261239. The cubic root of 252813060 is about 632.3145399270.

The spelling of 252813060 in words is "two hundred fifty-two million, eight hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 45307 90614 135921 181228 226535 271842 407763 453070 543684 679605 815526 906140 1359210 1404517 1631052 2038815 2718420 2809034 4077630 4213551 5618068 7022585 8155260 8427102 12640653 14045170 16854204 21067755 25281306 28090340 42135510 50562612 63203265 84271020 126406530 252813060