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130394880 = 283357311
BaseRepresentation
bin1111100010110…
…10101100000000
3100002100202011000
413301122230000
5231340114010
620534452000
73142224000
oct761325400
9302322130
10130394880
1167671670
1237804000
1321026445
1413464000
15b6aa7c0
hex7c5ab00

130394880 has 576 divisors, whose sum is σ = 588672000. Its totient is φ = 27095040.

The previous prime is 130394867. The next prime is 130394921. The reversal of 130394880 is 88493031.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11854075 + ... + 11854085.

It is an arithmetic number, because the mean of its divisors is an integer number (1022000).

Almost surely, 2130394880 is an apocalyptic number.

130394880 is a gapful number since it is divisible by the number (10) 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 130394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336000).

130394880 is an abundant number, since it is smaller than the sum of its proper divisors (458277120).

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

130394880 is an equidigital number, since it uses as much as digits as its factorization.

130394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 130394880 is about 11419.0577544734. The cubic root of 130394880 is about 507.0921018910.

The spelling of 130394880 in words is "one hundred thirty million, three hundred ninety-four thousand, eight hundred eighty".