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272120264 = 231312292129
BaseRepresentation
bin10000001110000…
…011100111001000
3200222001010211022
4100032003213020
51024130322024
643000252012
76512661353
oct2016034710
9628033738
10272120264
1112a671a89
1277171008
13444b8c10
14281d729a
1518d5335e
hex103839c8

272120264 has 32 divisors (see below), whose sum is σ = 550179000. Its totient is φ = 125432832.

The previous prime is 272120257. The next prime is 272120273. The reversal of 272120264 is 462021272.

It can be written as a sum of positive squares in 4 ways, for example, as 234396100 + 37724164 = 15310^2 + 6142^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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, 126752 + ... + 128880.

Almost surely, 2272120264 is an apocalyptic number.

It is an amenable number.

272120264 is an abundant number, since it is smaller than the sum of its proper divisors (278058736).

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

272120264 is a wasteful number, since it uses less digits than its factorization.

272120264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 272120264 is about 16496.0681375896. The cubic root of 272120264 is about 648.0178385070.

The spelling of 272120264 in words is "two hundred seventy-two million, one hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 1229 2129 2458 4258 4916 8516 9832 15977 17032 27677 31954 55354 63908 110708 127816 221416 2616541 5233082 10466164 20932328 34015033 68030066 136060132 272120264