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130630176 = 25321726681
BaseRepresentation
bin1111100100101…
…00001000100000
3100002210200220200
413302110020200
5231420131201
620543505200
73144223665
oct762241040
9302720820
10130630176
1167812426
12378b8200
13210a9581
14134c5a6c
15b705386
hex7c94220

130630176 has 72 divisors (see below), whose sum is σ = 393346044. Its totient is φ = 40980480.

The previous prime is 130630163. The next prime is 130630177. The reversal of 130630176 is 671036031.

130630176 is a `hidden beast` number, since 13 + 0 + 630 + 17 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123210000 + 7420176 = 11100^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (130630177) 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, 8445 + ... + 18236.

Almost surely, 2130630176 is an apocalyptic number.

130630176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130630176 is an abundant number, since it is smaller than the sum of its proper divisors (262715868).

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

130630176 is a wasteful number, since it uses less digits than its factorization.

130630176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26714 (or 26703 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 130630176 is about 11429.3558873630. The cubic root of 130630176 is about 507.3969324859.

The spelling of 130630176 in words is "one hundred thirty million, six hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 26681 53362 80043 106724 160086 213448 240129 320172 426896 453577 480258 640344 853792 907154 960516 1280688 1360731 1814308 1921032 2561376 2721462 3628616 3842064 4082193 5442924 7257232 7684128 8164386 10885848 14514464 16328772 21771696 32657544 43543392 65315088 130630176