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1157014272 = 28319372143
BaseRepresentation
bin100010011110110…
…1010001100000000
32222122010102012110
41010331222030000
54332143424042
6310450455320
740446313311
oct10475521400
92878112173
101157014272
11544116a47
12283594540
1315592393b
14ad940608
156b89909c
hex44f6a300

1157014272 has 144 divisors (see below), whose sum is σ = 3330575360. Its totient is φ = 355332096.

The previous prime is 1157014217. The next prime is 1157014283. The reversal of 1157014272 is 2724107511.

It is a super-2 number, since 2×11570142722 = 2677364051223379968, which contains 22 as substring.

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, 538833 + ... + 540975.

Almost surely, 21157014272 is an apocalyptic number.

1157014272 is a gapful number since it is divisible by the number (12) 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 1157014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665287680).

1157014272 is an abundant number, since it is smaller than the sum of its proper divisors (2173561088).

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

1157014272 is a wasteful number, since it uses less digits than its factorization.

1157014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 1157014272 is about 34014.9124943752. The cubic root of 1157014272 is about 1049.8153180856.

The spelling of 1157014272 in words is "one billion, one hundred fifty-seven million, fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 128 148 152 192 222 228 256 296 304 384 444 456 592 608 703 768 888 912 1184 1216 1406 1776 1824 2109 2143 2368 2432 2812 3552 3648 4218 4286 4736 4864 5624 6429 7104 7296 8436 8572 9472 11248 12858 14208 14592 16872 17144 22496 25716 28416 33744 34288 40717 44992 51432 67488 68576 79291 81434 89984 102864 122151 134976 137152 158582 162868 179968 205728 237873 244302 269952 274304 317164 325736 411456 475746 488604 539904 548608 634328 651472 822912 951492 977208 1268656 1302944 1506529 1645824 1902984 1954416 2537312 2605888 3013058 3805968 3908832 4519587 5074624 5211776 6026116 7611936 7817664 9039174 10149248 10423552 12052232 15223872 15635328 18078348 20298496 24104464 30447744 31270656 36156696 48208928 60895488 72313392 96417856 144626784 192835712 289253568 385671424 578507136 1157014272