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130072640 = 2653111307
BaseRepresentation
bin1111100000011…
…00000001000000
3100001202101010012
413300030001000
5231244311030
620523524052
73136412345
oct760140100
9301671105
10130072640
1167471555
1237689628
1320c42879
14133bc7cc
15b645095
hex7c0c040

130072640 has 56 divisors (see below), whose sum is σ = 310969152. Its totient is φ = 51822080.

The previous prime is 130072633. The next prime is 130072667. The reversal of 130072640 is 46270031.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98867 + ... + 100173.

Almost surely, 2130072640 is an apocalyptic number.

130072640 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 130072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155484576).

130072640 is an abundant number, since it is smaller than the sum of its proper divisors (180896512).

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

130072640 is a wasteful number, since it uses less digits than its factorization.

130072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 130072640 is about 11404.9392808555. The cubic root of 130072640 is about 506.6740380583.

The spelling of 130072640 in words is "one hundred thirty million, seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 311 320 622 1244 1307 1555 2488 2614 3110 4976 5228 6220 6535 9952 10456 12440 13070 19904 20912 24880 26140 41824 49760 52280 83648 99520 104560 209120 406477 418240 812954 1625908 2032385 3251816 4064770 6503632 8129540 13007264 16259080 26014528 32518160 65036320 130072640