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132140844 = 2232111132953
BaseRepresentation
bin1111110000001…
…00111100101100
3100012122110011100
413320010330230
5232312001334
621040123100
73163115163
oct770047454
9305573140
10132140844
1168654410
1238306490
13214b8064
141379a3da
15b902c99
hex7e04f2c

132140844 has 72 divisors (see below), whose sum is σ = 367737552. Its totient is φ = 39674880.

The previous prime is 132140837. The next prime is 132140857. The reversal of 132140844 is 448041231.

It is a super-2 number, since 2×1321408442 = 34922405306064672, which contains 22 as substring.

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, 43272 + ... + 46224.

It is an arithmetic number, because the mean of its divisors is an integer number (5107466).

Almost surely, 2132140844 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 132140844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183868776).

132140844 is an abundant number, since it is smaller than the sum of its proper divisors (235596708).

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

132140844 is a wasteful number, since it uses less digits than its factorization.

132140844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 132140844 is about 11495.2531072613. The cubic root of 132140844 is about 509.3453653779.

The spelling of 132140844 in words is "one hundred thirty-two million, one hundred forty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 2034 2486 2953 3729 4068 4972 5906 7458 8859 11187 11812 14916 17718 22374 26577 32483 35436 44748 53154 64966 97449 106308 129932 194898 292347 333689 389796 584694 667378 1001067 1169388 1334756 2002134 3003201 3670579 4004268 6006402 7341158 11011737 12012804 14682316 22023474 33035211 44046948 66070422 132140844