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132790560 = 2535739521
BaseRepresentation
bin1111110101000…
…11100100100000
3100020212110101220
413322203210200
5232443244220
621102055040
73201462330
oct772434440
9306773356
10132790560
1168a58571
123857a480
13216849c6
14138c90c0
15b9d0540
hex7ea3920

132790560 has 96 divisors (see below), whose sum is σ = 478058112. Its totient is φ = 30351360.

The previous prime is 132790543. The next prime is 132790571. The reversal of 132790560 is 65097231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1327905602 = 35266665650227200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 16401 + ... + 23120.

It is an arithmetic number, because the mean of its divisors is an integer number (4979772).

Almost surely, 2132790560 is an apocalyptic number.

132790560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132790560 is an abundant number, since it is smaller than the sum of its proper divisors (345267552).

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

132790560 is a wasteful number, since it uses less digits than its factorization.

132790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39546 (or 39538 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 132790560 is about 11523.4786414520. The cubic root of 132790560 is about 510.1787916002.

The spelling of 132790560 in words is "one hundred thirty-two million, seven hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 39521 79042 118563 158084 197605 237126 276647 316168 395210 474252 553294 592815 632336 790420 829941 948504 1106588 1185630 1264672 1383235 1580840 1659882 1897008 2213176 2371260 2766470 3161680 3319764 3794016 4149705 4426352 4742520 5532940 6323360 6639528 8299410 8852704 9485040 11065880 13279056 16598820 18970080 22131760 26558112 33197640 44263520 66395280 132790560