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130180560 = 24351731907
BaseRepresentation
bin1111100001001…
…10010111010000
3100001221212011020
413300212113100
5231311234220
620530115440
73140342106
oct760462720
9301855136
10130180560
1167535644
123771bb80
1320c7ca23
1413409c76
15b667040
hex7c265d0

130180560 has 80 divisors (see below), whose sum is σ = 427311936. Its totient is φ = 32671744.

The previous prime is 130180549. The next prime is 130180579. The reversal of 130180560 is 65081031.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 130180560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11874 + ... + 20033.

Almost surely, 2130180560 is an apocalyptic number.

130180560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130180560 is an abundant number, since it is smaller than the sum of its proper divisors (297131376).

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

130180560 is a wasteful number, since it uses less digits than its factorization.

130180560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31940 (or 31934 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 130180560 is about 11409.6695832964. The cubic root of 130180560 is about 506.8141268236.

The spelling of 130180560 in words is "one hundred thirty million, one hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 31907 63814 95721 127628 159535 191442 255256 319070 382884 478605 510512 542419 638140 765768 957210 1084838 1276280 1531536 1627257 1914420 2169676 2552560 2712095 3254514 3828840 4339352 5424190 6509028 7657680 8136285 8678704 10848380 13018056 16272570 21696760 26036112 32545140 43393520 65090280 130180560