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132688956 = 22337241197
BaseRepresentation
bin1111110100010…
…10110000111100
3100020200022000210
413322022300330
5232432021311
621055552420
73200560161
oct772126074
9306608023
10132688956
11689991a4
123852b710
132164a69a
14138a0068
15b9b03a6
hex7e8ac3c

132688956 has 72 divisors (see below), whose sum is σ = 327617136. Its totient is φ = 41771520.

The previous prime is 132688937. The next prime is 132688957. The reversal of 132688956 is 659886231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132688957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673450 + ... + 673646.

It is an arithmetic number, because the mean of its divisors is an integer number (4550238).

Almost surely, 2132688956 is an apocalyptic number.

It is an amenable number.

132688956 is an abundant number, since it is smaller than the sum of its proper divisors (194928180).

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

132688956 is a wasteful number, since it uses less digits than its factorization.

132688956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 280 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 132688956 is about 11519.0692332323. The cubic root of 132688956 is about 510.0486381910.

The spelling of 132688956 in words is "one hundred thirty-two million, six hundred eighty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 37 41 74 82 111 123 148 164 197 222 246 394 444 492 591 788 1182 1369 1517 2364 2738 3034 4107 4551 5476 6068 7289 8077 8214 9102 14578 16154 16428 18204 21867 24231 29156 32308 43734 48462 56129 87468 96924 112258 168387 224516 269693 298849 336774 539386 597698 673548 809079 896547 1078772 1195396 1618158 1793094 3236316 3586188 11057413 22114826 33172239 44229652 66344478 132688956