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132775236 = 223211317163
BaseRepresentation
bin1111110100111…
…11110101000100
3100020211200101100
413322133311010
5232442301421
621101500100
73201366546
oct772376504
9306750340
10132775236
1168a48000
1238571630
132167aa39
14138c3696
15b9cac26
hex7e9fd44

132775236 has 144 divisors (see below), whose sum is σ = 393277248. Its totient is φ = 37635840.

The previous prime is 132775217. The next prime is 132775243. The reversal of 132775236 is 632577231.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (52920) is a multiple of the sum of its prime divisors (196).

It is a self number, because there is not a number n which added to its sum of digits gives 132775236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814491 + ... + 814653.

It is an arithmetic number, because the mean of its divisors is an integer number (2731092).

Almost surely, 2132775236 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 132775236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196638624).

132775236 is an abundant number, since it is smaller than the sum of its proper divisors (260502012).

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

132775236 is a wasteful number, since it uses less digits than its factorization.

132775236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 132775236 is about 11522.8137188796. The cubic root of 132775236 is about 510.1591660070.

The spelling of 132775236 in words is "one hundred thirty-two million, seven hundred seventy-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 163 187 198 204 242 306 326 363 374 396 484 489 561 612 652 726 748 978 1089 1122 1331 1452 1467 1683 1793 1956 2057 2178 2244 2662 2771 2934 3366 3586 3993 4114 4356 5324 5379 5542 5868 6171 6732 7172 7986 8228 8313 10758 11084 11979 12342 15972 16137 16626 18513 19723 21516 22627 23958 24684 24939 30481 32274 33252 37026 39446 45254 47916 49878 59169 60962 64548 67881 74052 78892 90508 91443 99756 118338 121924 135762 177507 182886 203643 216953 236676 271524 274329 335291 355014 365772 407286 433906 548658 650859 670582 710028 814572 867812 1005873 1097316 1301718 1341164 1952577 2011746 2603436 3017619 3688201 3905154 4023492 6035238 7376402 7810308 11064603 12070476 14752804 22129206 33193809 44258412 66387618 132775236