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132936160 = 2557196247
BaseRepresentation
bin1111110110001…
…11000111100000
3100021010212010111
413323013013200
5233012424120
621105141104
73202636660
oct773070740
9307125114
10132936160
11690479a5
123862a794
1321706066
14139261a0
15ba0d75a
hex7ec71e0

132936160 has 96 divisors (see below), whose sum is σ = 377879040. Its totient is φ = 43172352.

The previous prime is 132936149. The next prime is 132936187. The reversal of 132936160 is 61639231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18157 + ... + 24403.

It is an arithmetic number, because the mean of its divisors is an integer number (3936240).

Almost surely, 2132936160 is an apocalyptic number.

132936160 is a gapful number since it is divisible by the number (10) 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 132936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188939520).

132936160 is an abundant number, since it is smaller than the sum of its proper divisors (244942880).

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

132936160 is a wasteful number, since it uses less digits than its factorization.

132936160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 132936160 is about 11529.7944474305. The cubic root of 132936160 is about 510.3651876297.

The spelling of 132936160 in words is "one hundred thirty-two million, nine hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 6247 10640 12494 21280 24988 31235 43729 49976 62470 87458 99952 118693 124940 174916 199904 218645 237386 249880 349832 437290 474772 499760 593465 699664 830851 874580 949544 999520 1186930 1399328 1661702 1749160 1899088 2373860 3323404 3498320 3798176 4154255 4747720 6646808 6996640 8308510 9495440 13293616 16617020 18990880 26587232 33234040 66468080 132936160