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130756752 = 24327129719
BaseRepresentation
bin1111100101100…
…11000010010000
3100010001010112200
413302303002100
5231433204002
620550323200
73145262010
oct762630220
9303033480
10130756752
1167899535
1237959500
1321122079
1413519c40
15b72cb1c
hex7cb3090

130756752 has 60 divisors (see below), whose sum is σ = 418217280. Its totient is φ = 37358784.

The previous prime is 130756751. The next prime is 130756757. The reversal of 130756752 is 257657031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130756751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63852 + ... + 65867.

It is an arithmetic number, because the mean of its divisors is an integer number (6970288).

Almost surely, 2130756752 is an apocalyptic number.

130756752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130756752 is an abundant number, since it is smaller than the sum of its proper divisors (287460528).

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

130756752 is a wasteful number, since it uses less digits than its factorization.

130756752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129740 (or 129731 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 130756752 is about 11434.8918665635. The cubic root of 130756752 is about 507.5607627829.

The spelling of 130756752 in words is "one hundred thirty million, seven hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 129719 259438 389157 518876 778314 908033 1037752 1167471 1556628 1816066 2075504 2334942 2724099 3113256 3632132 4669884 5448198 6226512 7264264 8172297 9339768 10896396 14528528 16344594 18679536 21792792 32689188 43585584 65378376 130756752