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132037696 = 2672910163
BaseRepresentation
bin1111101111010…
…11110001000000
3100012110012200001
413313223301000
5232300201241
621034005344
73162205360
oct767536100
9305405601
10132037696
116859396a
1238276854
132148011b
14137709a0
15b8d2431
hex7debc40

132037696 has 56 divisors (see below), whose sum is σ = 309798720. Its totient is φ = 54630912.

The previous prime is 132037663. The next prime is 132037729. The reversal of 132037696 is 696730231.

It is an interprime number because it is at equal distance from previous prime (132037663) and next prime (132037729).

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7911 + ... + 18073.

It is an arithmetic number, because the mean of its divisors is an integer number (5532120).

Almost surely, 2132037696 is an apocalyptic number.

132037696 is a gapful number since it is divisible by the number (16) 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 132037696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154899360).

132037696 is an abundant number, since it is smaller than the sum of its proper divisors (177761024).

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

132037696 is a wasteful number, since it uses less digits than its factorization.

132037696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 132037696 is about 11490.7656838002. The cubic root of 132037696 is about 509.2128006833.

The spelling of 132037696 in words is "one hundred thirty-two million, thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 10163 12992 20326 40652 71141 81304 142282 162608 284564 294727 325216 569128 589454 650432 1138256 1178908 2063089 2276512 2357816 4126178 4553024 4715632 8252356 9431264 16504712 18862528 33009424 66018848 132037696