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130493160 = 23335741421
BaseRepresentation
bin1111100011100…
…10101011101000
3100002112201222000
413301302223220
5231401240120
620540531000
73143113350
oct761625350
9302481860
10130493160
1167729496
1237850a60
132105c0b5
141348bb60
15b6c9990
hex7c72ae8

130493160 has 256 divisors, whose sum is σ = 510451200. Its totient is φ = 29030400.

The previous prime is 130493149. The next prime is 130493171. The reversal of 130493160 is 61394031.

130493160 is a `hidden beast` number, since 13 + 0 + 493 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (130493149) and next prime (130493171).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 309750 + ... + 310170.

It is an arithmetic number, because the mean of its divisors is an integer number (1993950).

Almost surely, 2130493160 is an apocalyptic number.

130493160 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 130493160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255225600).

130493160 is an abundant number, since it is smaller than the sum of its proper divisors (379958040).

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

130493160 is a wasteful number, since it uses less digits than its factorization.

130493160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130493160 is about 11423.3602762059. The cubic root of 130493160 is about 507.2194701234.

The spelling of 130493160 in words is "one hundred thirty million, four hundred ninety-three thousand, one hundred sixty".