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132785334 = 2321117103383
BaseRepresentation
bin1111110101000…
…10010010110110
3100020212012020100
413322202102312
5232443112314
621102014530
73201441153
oct772422266
9306765210
10132785334
1168a54650
1238577446
1321682506
14138c722a
15b9cdc09
hex7ea24b6

132785334 has 96 divisors (see below), whose sum is σ = 336420864. Its totient is φ = 37405440.

The previous prime is 132785329. The next prime is 132785353. The reversal of 132785334 is 433587231.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346507 + ... + 346889.

It is an arithmetic number, because the mean of its divisors is an integer number (3504384).

Almost surely, 2132785334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132785334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168210432).

132785334 is an abundant number, since it is smaller than the sum of its proper divisors (203635530).

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

132785334 is a wasteful number, since it uses less digits than its factorization.

132785334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 132785334 is about 11523.2518847763. The cubic root of 132785334 is about 510.1720987817.

The spelling of 132785334 in words is "one hundred thirty-two million, seven hundred eighty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 103 153 187 198 206 306 309 374 383 561 618 766 927 1122 1133 1149 1683 1751 1854 2266 2298 3366 3399 3447 3502 4213 5253 6511 6798 6894 8426 10197 10506 12639 13022 15759 19261 19533 20394 25278 31518 37917 38522 39066 39449 57783 58599 71621 75834 78898 115566 117198 118347 143242 173349 214863 236694 346698 355041 429726 433939 644589 670633 710082 867878 1289178 1301817 1341266 2011899 2603634 3905451 4023798 6035697 7376963 7810902 12071394 14753926 22130889 44261778 66392667 132785334