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130823168 = 210718251
BaseRepresentation
bin1111100110000…
…11010000000000
3100010011111122112
413303003100000
5231442320133
620551554452
73145656440
oct763032000
9303144575
10130823168
1167934423
123798ba28
1321146378
1413536120
15b742648
hex7cc3400

130823168 has 44 divisors (see below), whose sum is σ = 298894752. Its totient is φ = 56064000.

The previous prime is 130823159. The next prime is 130823171. The reversal of 130823168 is 861328031.

It is a happy number.

It is a super-2 number, since 2×1308231682 = 34229402571112448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1958 + ... + 16293.

Almost surely, 2130823168 is an apocalyptic number.

It is an amenable number.

130823168 is an abundant number, since it is smaller than the sum of its proper divisors (168071584).

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

130823168 is an equidigital number, since it uses as much as digits as its factorization.

130823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18278 (or 18260 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 130823168 is about 11437.7955918088. The cubic root of 130823168 is about 507.6466842852.

The spelling of 130823168 in words is "one hundred thirty million, eight hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 18251 36502 73004 127757 146008 255514 292016 511028 584032 1022056 1168064 2044112 2336128 4088224 4672256 8176448 9344512 16352896 18689024 32705792 65411584 130823168