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132095964 = 2237211131571
BaseRepresentation
bin1111101111110…
…01111111011100
3100012120011121010
413313321333130
5232304032324
621035135220
73162540300
oct767717734
9305504533
10132095964
1168623720
12382a4510
13214a07c0
1413787d00
15b8e4829
hex7df9fdc

132095964 has 144 divisors (see below), whose sum is σ = 421497216. Its totient is φ = 31651200.

The previous prime is 132095941. The next prime is 132095989. The reversal of 132095964 is 469590231.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 83299 + ... + 84869.

It is an arithmetic number, because the mean of its divisors is an integer number (2927064).

Almost surely, 2132095964 is an apocalyptic number.

132095964 is a gapful number since it is divisible by the number (14) 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 132095964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210748608).

132095964 is an abundant number, since it is smaller than the sum of its proper divisors (289401252).

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

132095964 is a wasteful number, since it uses less digits than its factorization.

132095964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 132095964 is about 11493.3008313539. The cubic root of 132095964 is about 509.2876945681.

The spelling of 132095964 in words is "one hundred thirty-two million, ninety-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1571 1617 1716 1911 2002 2156 2548 3003 3142 3234 3822 4004 4713 6006 6284 6468 7007 7644 9426 10997 12012 14014 17281 18852 20423 21021 21994 28028 32991 34562 40846 42042 43988 51843 61269 65982 69124 76979 81692 84084 103686 120967 122538 131964 142961 153958 207372 224653 230937 241934 245076 285922 307916 362901 428883 449306 461874 483868 571844 673959 725802 846769 857766 898612 923748 1000727 1347918 1451604 1572571 1693538 1715532 2001454 2540307 2695836 3002181 3145142 3387076 4002908 4717713 5080614 6004362 6290284 9435426 10161228 11007997 12008724 18870852 22015994 33023991 44031988 66047982 132095964