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272864460 = 2235114011031
BaseRepresentation
bin10000010000111…
…001010011001100
3201000102221200010
4100100321103030
51024323130320
643024233220
76522211131
oct2020712314
9630387603
10272864460
11130030120
127746b810
13446b987b
142834c588
1518e4dae0
hex104394cc

272864460 has 96 divisors (see below), whose sum is σ = 836365824. Its totient is φ = 65920000.

The previous prime is 272864443. The next prime is 272864483. The reversal of 272864460 is 64468272.

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 31 ways as a sum of consecutive naturals, for example, 264145 + ... + 265175.

It is an arithmetic number, because the mean of its divisors is an integer number (8712144).

Almost surely, 2272864460 is an apocalyptic number.

272864460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272864460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418182912).

272864460 is an abundant number, since it is smaller than the sum of its proper divisors (563501364).

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

272864460 is a wasteful number, since it uses less digits than its factorization.

272864460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 272864460 is about 16518.6095056454. The cubic root of 272864460 is about 648.6080350632.

The spelling of 272864460 in words is "two hundred seventy-two million, eight hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 401 660 802 1031 1203 1604 2005 2062 2406 3093 4010 4124 4411 4812 5155 6015 6186 8020 8822 10310 11341 12030 12372 13233 15465 17644 20620 22055 22682 24060 26466 30930 34023 44110 45364 52932 56705 61860 66165 68046 88220 113410 132330 136092 170115 226820 264660 340230 413431 680460 826862 1240293 1653724 2067155 2480586 4134310 4547741 4961172 6201465 8268620 9095482 12402930 13643223 18190964 22738705 24805860 27286446 45477410 54572892 68216115 90954820 136432230 272864460