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272134968 = 23378631877
BaseRepresentation
bin10000001110000…
…111001100111000
3200222001212222220
4100032013030320
51024131304333
643000444040
76513052260
oct2016071470
9628055886
10272134968
1112a682036
1277179620
13444c2811
14281dc7a0
1518d578b3
hex10387338

272134968 has 64 divisors (see below), whose sum is σ = 778844160. Its totient is φ = 77621376.

The previous prime is 272134939. The next prime is 272134979. The reversal of 272134968 is 869431272.

It is a super-2 number, since 2×2721349682 = 148114881616722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144046 + ... + 145922.

It is an arithmetic number, because the mean of its divisors is an integer number (12169440).

Almost surely, 2272134968 is an apocalyptic number.

272134968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

272134968 is an abundant number, since it is smaller than the sum of its proper divisors (506709192).

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

272134968 is a wasteful number, since it uses less digits than its factorization.

272134968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2752 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 272134968 is about 16496.5138135304. The cubic root of 272134968 is about 648.0295101635.

The spelling of 272134968 in words is "two hundred seventy-two million, one hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 863 1726 1877 2589 3452 3754 5178 5631 6041 6904 7508 10356 11262 12082 13139 15016 18123 20712 22524 24164 26278 36246 39417 45048 48328 52556 72492 78834 105112 144984 157668 315336 1619851 3239702 4859553 6479404 9719106 11338957 12958808 19438212 22677914 34016871 38876424 45355828 68033742 90711656 136067484 272134968