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133881904 = 24131921783
BaseRepresentation
bin1111111101011…
…10000000110000
3100022220220110001
413332232000300
5233233210104
621141315344
73213656152
oct776560060
9308826401
10133881904
1169633502
1238a05b54
1321977680
1413ad0ad2
15bb48aa4
hex7fae030

133881904 has 60 divisors (see below), whose sum is σ = 294991536. Its totient is φ = 58506624.

The previous prime is 133881871. The next prime is 133881911. The reversal of 133881904 is 409188331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74197 + ... + 75979.

Almost surely, 2133881904 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 133881904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147495768).

133881904 is an abundant number, since it is smaller than the sum of its proper divisors (161109632).

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

133881904 is a wasteful number, since it uses less digits than its factorization.

133881904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 133881904 is about 11570.7348081269. The cubic root of 133881904 is about 511.5726210574.

The spelling of 133881904 in words is "one hundred thirty-three million, eight hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 361 494 722 988 1444 1783 1976 2888 3566 3952 4693 5776 7132 9386 14264 18772 23179 28528 33877 37544 46358 67754 75088 92716 135508 185432 271016 370864 440401 542032 643663 880802 1287326 1761604 2574652 3523208 5149304 7046416 8367619 10298608 16735238 33470476 66940952 133881904