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133086768 = 24315311811
BaseRepresentation
bin1111110111010…
…11111000110000
3100021102111201120
413323223320300
5233032234033
621112302240
73204135033
oct773537060
9307374646
10133086768
1169140071
12386a1980
1321759789
141396501a
15ba3d1b3
hex7eebe30

133086768 has 40 divisors (see below), whose sum is σ = 344222016. Its totient is φ = 44308800.

The previous prime is 133086757. The next prime is 133086769. The reversal of 133086768 is 867680331.

It is a super-4 number, since 4×1330867684 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (133086769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72583 + ... + 74393.

Almost surely, 2133086768 is an apocalyptic number.

It is an amenable number.

133086768 is an abundant number, since it is smaller than the sum of its proper divisors (211135248).

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

133086768 is a wasteful number, since it uses less digits than its factorization.

133086768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 133086768 is about 11536.3238512101. The cubic root of 133086768 is about 510.5578517143.

The spelling of 133086768 in words is "one hundred thirty-three million, eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1531 1811 3062 3622 4593 5433 6124 7244 9186 10866 12248 14488 18372 21732 24496 28976 36744 43464 73488 86928 2772641 5545282 8317923 11090564 16635846 22181128 33271692 44362256 66543384 133086768