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130504920 = 2335713171937
BaseRepresentation
bin1111100011101…
…01100011011000
3100002120100002120
413301311203120
5231402124140
620541101240
73143162550
oct761654330
9302510076
10130504920
1167737307
1237857820
1321064560
1413492160
15b6cd1d0
hex7c758d8

130504920 has 512 divisors, whose sum is σ = 551577600. Its totient is φ = 23887872.

The previous prime is 130504909. The next prime is 130504973. The reversal of 130504920 is 29405031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3527142 + ... + 3527178.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2130504920 is an apocalyptic number.

130504920 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 130504920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

130504920 is an abundant number, since it is smaller than the sum of its proper divisors (421072680).

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

130504920 is a wasteful number, since it uses less digits than its factorization.

130504920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 130504920 is about 11423.8749993161. The cubic root of 130504920 is about 507.2347064821.

Adding to 130504920 its reverse (29405031), we get a palindrome (159909951).

The spelling of 130504920 in words is "one hundred thirty million, five hundred four thousand, nine hundred twenty".