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133935872 = 287312411
BaseRepresentation
bin1111111101110…
…11001100000000
3100100000122110212
413332323030000
5233241421442
621142413252
73214302410
oct776731400
9310018425
10133935872
1169670004
1238a31228
13219960c5
1413b06640
15bb59a82
hex7fbb300

133935872 has 72 divisors (see below), whose sum is σ = 315528192. Its totient is φ = 55526400.

The previous prime is 133935869. The next prime is 133935887. The reversal of 133935872 is 278539331.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54347 + ... + 56757.

It is an arithmetic number, because the mean of its divisors is an integer number (4382336).

Almost surely, 2133935872 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 133935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157764096).

133935872 is an abundant number, since it is smaller than the sum of its proper divisors (181592320).

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

133935872 is an equidigital number, since it uses as much as digits as its factorization.

133935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2451 counting only the distinct ones).

The product of its digits is 136080, while the sum is 41.

The square root of 133935872 is about 11573.0666635944. The cubic root of 133935872 is about 511.6413503916.

The spelling of 133935872 in words is "one hundred thirty-three million, nine hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 2411 3472 3968 4822 6944 7936 9644 13888 16877 19288 27776 33754 38576 55552 67508 74741 77152 135016 149482 154304 270032 298964 308608 523187 540064 597928 617216 1046374 1080128 1195856 2092748 2160256 2391712 4185496 4320512 4783424 8370992 9566848 16741984 19133696 33483968 66967936 133935872