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132921096 = 233711174231
BaseRepresentation
bin1111110110000…
…11011100001000
3100021010002110120
413323003130020
5233011433341
621104543240
73202545030
oct773033410
9307102416
10132921096
1169037650
1238621b20
13216cc249
14139208c0
15ba09066
hex7ec3708

132921096 has 128 divisors (see below), whose sum is σ = 438773760. Its totient is φ = 32486400.

The previous prime is 132921077. The next prime is 132921119. The reversal of 132921096 is 690129231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29301 + ... + 33531.

It is an arithmetic number, because the mean of its divisors is an integer number (3427920).

Almost surely, 2132921096 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 132921096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219386880).

132921096 is an abundant number, since it is smaller than the sum of its proper divisors (305852664).

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

132921096 is a wasteful number, since it uses less digits than its factorization.

132921096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 132921096 is about 11529.1411648917. The cubic root of 132921096 is about 510.3459091238.

The spelling of 132921096 in words is "one hundred thirty-two million, nine hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3927 4231 4488 5236 7854 8462 10472 12693 15708 16924 25386 29617 31416 33848 46541 50772 59234 71927 88851 93082 101544 118468 139623 143854 177702 186164 215781 236936 279246 287708 325787 355404 372328 431562 503489 558492 575416 651574 710808 791197 863124 977361 1006978 1116984 1303148 1510467 1582394 1726248 1954722 2013956 2373591 2606296 3020934 3164788 3909444 4027912 4747182 5538379 6041868 6329576 7818888 9494364 11076758 12083736 16615137 18988728 22153516 33230274 44307032 66460548 132921096