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132081936 = 2437537417
BaseRepresentation
bin1111101111101…
…10100100010000
3100012112110100120
413313312210100
5232303110221
621034550240
73162451350
oct767664420
9305473316
10132081936
1168614128
1238298380
13214972bc
1413782b60
15b8e05c6
hex7df6910

132081936 has 80 divisors (see below), whose sum is σ = 397367424. Its totient is φ = 37020672.

The previous prime is 132081923. The next prime is 132081941. The reversal of 132081936 is 639180231.

It is a junction number, because it is equal to n+sod(n) for n = 132081897 and 132081906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14100 + ... + 21516.

Almost surely, 2132081936 is an apocalyptic number.

132081936 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 132081936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198683712).

132081936 is an abundant number, since it is smaller than the sum of its proper divisors (265285488).

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

132081936 is a wasteful number, since it uses less digits than its factorization.

132081936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 132081936 is about 11492.6905466040. The cubic root of 132081936 is about 509.2696659055.

The spelling of 132081936 in words is "one hundred thirty-two million, eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 7417 8904 14834 17808 22251 29668 44502 51919 59336 89004 103838 118672 155757 178008 207676 311514 356016 393101 415352 623028 786202 830704 1179303 1246056 1572404 2358606 2492112 2751707 3144808 4717212 5503414 6289616 8255121 9434424 11006828 16510242 18868848 22013656 33020484 44027312 66040968 132081936