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133767968 = 2517245897
BaseRepresentation
bin1111111100100…
…10001100100000
3100022201010011012
413332102030200
5233221033333
621135040052
73213003035
oct776221440
9308633135
10133767968
1169565944
1238970028
1321937859
1413aa138c
15bb24e48
hex7f92320

133767968 has 24 divisors (see below), whose sum is σ = 278848332. Its totient is φ = 62949376.

The previous prime is 133767911. The next prime is 133767971. The reversal of 133767968 is 869767331.

It can be written as a sum of positive squares in 2 ways, for example, as 125171344 + 8596624 = 11188^2 + 2932^2 .

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 3 ways as a sum of consecutive naturals, for example, 122405 + ... + 123492.

Almost surely, 2133767968 is an apocalyptic number.

It is an amenable number.

133767968 is an abundant number, since it is smaller than the sum of its proper divisors (145080364).

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

133767968 is a wasteful number, since it uses less digits than its factorization.

133767968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245924 (or 245916 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 50.

The square root of 133767968 is about 11565.8103045139. The cubic root of 133767968 is about 511.4274605875.

The spelling of 133767968 in words is "one hundred thirty-three million, seven hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 245897 491794 983588 1967176 3934352 4180249 7868704 8360498 16720996 33441992 66883984 133767968