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130290600 = 2335211191039
BaseRepresentation
bin1111100010000…
…01001110101000
3100002011110002210
413301001032220
5231323244400
620532325120
73141310656
oct761011650
9302143083
10130290600
1167600290
12377737a0
1320cbab3b
1413437dd6
15b689950
hex7c413a8

130290600 has 192 divisors, whose sum is σ = 464256000. Its totient is φ = 29894400.

The previous prime is 130290599. The next prime is 130290623. The reversal of 130290600 is 6092031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124881 + ... + 125919.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 2130290600 is an apocalyptic number.

130290600 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 130290600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

130290600 is an abundant number, since it is smaller than the sum of its proper divisors (333965400).

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

130290600 is a wasteful number, since it uses less digits than its factorization.

130290600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 130290600 is about 11414.4907902192. The cubic root of 130290600 is about 506.9568878217.

The spelling of 130290600 in words is "one hundred thirty million, two hundred ninety thousand, six hundred".