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133809907 = 7112179293
BaseRepresentation
bin1111111100111…
…00011011110011
3100022210020200111
413332130123303
5233223404112
621140002151
73213236230
oct776343363
9308706614
10133809907
1169594400
1238990357
132195097a
1413ab2787
15bb325a7
hex7f9c6f3

133809907 has 24 divisors (see below), whose sum is σ = 177998688. Its totient is φ = 98123520.

The previous prime is 133809901. The next prime is 133809911. The reversal of 133809907 is 709908331.

It is a de Polignac number, because none of the positive numbers 2k-133809907 is a prime.

It is a super-2 number, since 2×1338099072 = 35810182422697298, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133809907.

It is not an unprimeable number, because it can be changed into a prime (133809901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9753 + ... + 19045.

It is an arithmetic number, because the mean of its divisors is an integer number (7416612).

Almost surely, 2133809907 is an apocalyptic number.

133809907 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

133809907 is a deficient number, since it is larger than the sum of its proper divisors (44188781).

133809907 is a wasteful number, since it uses less digits than its factorization.

133809907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 133809907 is about 11567.6232217340. The cubic root of 133809907 is about 511.4809026670.

The spelling of 133809907 in words is "one hundred thirty-three million, eight hundred nine thousand, nine hundred seven".

Divisors: 1 7 11 17 77 119 121 187 847 1309 2057 9293 14399 65051 102223 157981 715561 1105867 1124453 1737791 7871171 12164537 19115701 133809907