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132494296 = 231119109727
BaseRepresentation
bin1111110010110…
…11001111011000
3100020022102000011
413321123033120
5232404304141
621051451304
73166116514
oct771331730
9306272004
10132494296
1168875a20
1238456b34
13215acbbc
141384d144
15b972881
hex7e5b3d8

132494296 has 64 divisors (see below), whose sum is σ = 288288000. Its totient is φ = 56453760.

The previous prime is 132494287. The next prime is 132494303. The reversal of 132494296 is 692494231.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 181885 + ... + 182611.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500).

Almost surely, 2132494296 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 132494296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144000).

132494296 is an abundant number, since it is smaller than the sum of its proper divisors (155793704).

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

132494296 is a wasteful number, since it uses less digits than its factorization.

132494296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 132494296 is about 11510.6166646275. The cubic root of 132494296 is about 509.7990955444.

The spelling of 132494296 in words is "one hundred thirty-two million, four hundred ninety-four thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 109 152 209 218 418 436 727 836 872 1199 1454 1672 2071 2398 2908 4142 4796 5816 7997 8284 9592 13813 15994 16568 22781 27626 31988 45562 55252 63976 79243 91124 110504 151943 158486 182248 303886 316972 607772 633944 871673 1215544 1505617 1743346 3011234 3486692 6022468 6973384 12044936 16561787 33123574 66247148 132494296