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131645072 = 24131933311
BaseRepresentation
bin1111101100010…
…11111010010000
3100011201021002102
413312023322100
5232200120242
621021335532
73155651606
oct766137220
9304637072
10131645072
1168345989
12381075a8
13213734c0
14136ab876
15b855e32
hex7d8be90

131645072 has 40 divisors (see below), whose sum is σ = 289148160. Its totient is φ = 57559680.

The previous prime is 131645069. The next prime is 131645083. The reversal of 131645072 is 270546131.

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, 12704 + ... + 20607.

It is an arithmetic number, because the mean of its divisors is an integer number (7228704).

Almost surely, 2131645072 is an apocalyptic number.

It is an amenable number.

131645072 is an abundant number, since it is smaller than the sum of its proper divisors (157503088).

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

131645072 is a wasteful number, since it uses less digits than its factorization.

131645072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33351 (or 33345 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 131645072 is about 11473.6686373627. The cubic root of 131645072 is about 508.7075720785.

The spelling of 131645072 in words is "one hundred thirty-one million, six hundred forty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 33311 66622 133244 266488 433043 532976 632909 866086 1265818 1732172 2531636 3464344 5063272 6928688 8227817 10126544 16455634 32911268 65822536 131645072