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133660681 = 72111729503
BaseRepresentation
bin1111111011110…
…00000000001001
3100022111122222121
413331320000021
5233204120211
621132451241
73212045200
oct775700011
9308448877
10133660681
11694a2280
1238919b21
13218caa7b
1413a74237
15bb03271
hex7f78009

133660681 has 48 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 94456320.

The previous prime is 133660661. The next prime is 133660691. The reversal of 133660681 is 186066331.

It is a happy number.

It is not a de Polignac number, because 133660681 - 213 = 133652489 is a prime.

It is a super-2 number, since 2×1336606812 = 35730355290767522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133660601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 265476 + ... + 265978.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2133660681 is an apocalyptic number.

133660681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133660681 is a deficient number, since it is larger than the sum of its proper divisors (52496759).

133660681 is a wasteful number, since it uses less digits than its factorization.

133660681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 133660681 is about 11561.1712641929. The cubic root of 133660681 is about 511.2906959234.

The spelling of 133660681 in words is "one hundred thirty-three million, six hundred sixty thousand, six hundred eighty-one".

Divisors: 1 7 11 17 29 49 77 119 187 203 319 493 503 539 833 1309 1421 2233 3451 3521 5423 5533 8551 9163 14587 15631 24157 24647 37961 38731 59857 94061 102109 160457 247979 265727 271117 418999 658427 714763 1123199 1735853 2727769 4608989 7862393 12150971 19094383 133660681