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130594464 = 253371113151
BaseRepresentation
bin1111100100010…
…11011010100000
3100002201212221000
413302023122200
5231413010324
620543032000
73144014610
oct762133240
9302655830
10130594464
1167798610
123789b600
1321096240
14134b6a40
15b6e99c9
hex7c8b6a0

130594464 has 384 divisors, whose sum is σ = 514805760. Its totient is φ = 31104000.

The previous prime is 130594411. The next prime is 130594523. The reversal of 130594464 is 464495031.

130594464 is a `hidden beast` number, since 1 + 3 + 0 + 594 + 4 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864789 + ... + 864939.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2130594464 is an apocalyptic number.

130594464 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 130594464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

130594464 is an abundant number, since it is smaller than the sum of its proper divisors (384211296).

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

130594464 is a wasteful number, since it uses less digits than its factorization.

130594464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 130594464 is about 11427.7934878086. The cubic root of 130594464 is about 507.3506904631.

The spelling of 130594464 in words is "one hundred thirty million, five hundred ninety-four thousand, four hundred sixty-four".