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132092712 = 233219223433
BaseRepresentation
bin1111101111110…
…01001100101000
3100012120000010200
413313321030220
5232303431322
621035112200
73162524643
oct767711450
9305500120
10132092712
1168621234
12382a2660
132149c18b
1413786a5a
15b8e38ac
hex7df9328

132092712 has 96 divisors (see below), whose sum is σ = 379142400. Its totient is φ = 41430528.

The previous prime is 132092707. The next prime is 132092729. The reversal of 132092712 is 217290231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304848 + ... + 305280.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2132092712 is an apocalyptic number.

132092712 is a gapful number since it is divisible by the number (12) 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 132092712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).

132092712 is an abundant number, since it is smaller than the sum of its proper divisors (247049688).

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

132092712 is a wasteful number, since it uses less digits than its factorization.

132092712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132092712 is about 11493.1593567652. The cubic root of 132092712 is about 509.2835152399.

The spelling of 132092712 in words is "one hundred thirty-two million, ninety-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 223 228 342 433 446 456 669 684 866 892 1299 1338 1368 1732 1784 2007 2598 2676 3464 3897 4014 4237 5196 5352 7794 8028 8227 8474 10392 12711 15588 16056 16454 16948 24681 25422 31176 32908 33896 38133 49362 50844 65816 74043 76266 96559 98724 101688 148086 152532 193118 197448 289677 296172 305064 386236 579354 592344 772472 869031 1158708 1738062 1834621 2317416 3476124 3669242 5503863 6952248 7338484 11007726 14676968 16511589 22015452 33023178 44030904 66046356 132092712