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132860928 = 210361709
BaseRepresentation
bin1111110101101…
…00110000000000
3100021000000221010
413322310300000
5233003022203
621103400520
73202204434
oct772646000
9307000833
10132860928
1168aa6422
12385b3140
13216aaa45
14139069c4
15b9e6303
hex7eb4c00

132860928 has 88 divisors (see below), whose sum is σ = 360435760. Its totient is φ = 43499520.

The previous prime is 132860909. The next prime is 132860929. The reversal of 132860928 is 829068231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132860929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187038 + ... + 187746.

Almost surely, 2132860928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180217880).

132860928 is an abundant number, since it is smaller than the sum of its proper divisors (227574832).

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

132860928 is an equidigital number, since it uses as much as digits as its factorization.

132860928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 132860928 is about 11526.5314817598. The cubic root of 132860928 is about 510.2688931900.

The spelling of 132860928 in words is "one hundred thirty-two million, eight hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 709 732 768 976 1024 1418 1464 1536 1952 2127 2836 2928 3072 3904 4254 5672 5856 7808 8508 11344 11712 15616 17016 22688 23424 31232 34032 43249 45376 46848 62464 68064 86498 90752 93696 129747 136128 172996 181504 187392 259494 272256 345992 363008 518988 544512 691984 726016 1037976 1089024 1383968 2075952 2178048 2767936 4151904 5535872 8303808 11071744 16607616 22143488 33215232 44286976 66430464 132860928