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130952304 = 24327267277
BaseRepresentation
bin1111100111000…
…10110001110000
3100010102001210100
413303202301300
5232010433204
620554432400
73150035100
oct763426160
9303361710
10130952304
1167a1244a
1237a32700
1321190092
141356b200
15b76aa39
hex7ce2c70

130952304 has 180 divisors, whose sum is σ = 434243784. Its totient is φ = 36723456.

The previous prime is 130952281. The next prime is 130952321. The reversal of 130952304 is 403259031.

130952304 = T3101 + T3102 + ... + T3127.

130952304 is a `hidden beast` number, since 1 + 309 + 52 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 472614 + ... + 472890.

Almost surely, 2130952304 is an apocalyptic number.

130952304 is a gapful number since it is divisible by the number (14) 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 130952304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217121892).

130952304 is an abundant number, since it is smaller than the sum of its proper divisors (303291480).

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

130952304 is a wasteful number, since it uses less digits than its factorization.

130952304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 130952304 is about 11443.4393431346. The cubic root of 130952304 is about 507.8136626195.

The spelling of 130952304 in words is "one hundred thirty million, nine hundred fifty-two thousand, three hundred four".