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133631696 = 24111759757
BaseRepresentation
bin1111111011100…
…00111011010000
3100022110012020002
413331300323100
5233202203241
621132105132
73211564532
oct775607320
9308405202
10133631696
1169482520
12389051a8
13218ba813
1413a67852
15bae989b
hex7f70ed0

133631696 has 80 divisors (see below), whose sum is σ = 304534080. Its totient is φ = 56125440.

The previous prime is 133631677. The next prime is 133631699. The reversal of 133631696 is 696136331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133631699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176150 + ... + 176906.

It is an arithmetic number, because the mean of its divisors is an integer number (3806676).

Almost surely, 2133631696 is an apocalyptic number.

133631696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133631696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152267040).

133631696 is an abundant number, since it is smaller than the sum of its proper divisors (170902384).

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

133631696 is a wasteful number, since it uses less digits than its factorization.

133631696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its digits is 52488, while the sum is 38.

The square root of 133631696 is about 11559.9176467655. The cubic root of 133631696 is about 511.2537345869.

The spelling of 133631696 in words is "one hundred thirty-three million, six hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 59 68 88 118 136 176 187 236 272 374 472 649 748 757 944 1003 1298 1496 1514 2006 2596 2992 3028 4012 5192 6056 8024 8327 10384 11033 12112 12869 16048 16654 22066 25738 33308 44132 44663 51476 66616 88264 89326 102952 133232 141559 176528 178652 205904 283118 357304 491293 566236 714608 759271 982586 1132472 1518542 1965172 2264944 3037084 3930344 6074168 7860688 8351981 12148336 16703962 33407924 66815848 133631696