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130454640 = 24325409443
BaseRepresentation
bin1111100011010…
…01010001110000
3100002110210010100
413301221101300
5231344022030
620540032400
73142563141
oct761512160
9302423110
10130454640
1167702558
1237832700
13210476c4
141347bac8
15b6bd360
hex7c69470

130454640 has 120 divisors (see below), whose sum is σ = 440172720. Its totient is φ = 34624512.

The previous prime is 130454633. The next prime is 130454707. The reversal of 130454640 is 46454031.

130454640 is a `hidden beast` number, since 13 + 0 + 4 + 5 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 294259 + ... + 294701.

It is an arithmetic number, because the mean of its divisors is an integer number (3668106).

Almost surely, 2130454640 is an apocalyptic number.

130454640 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 130454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220086360).

130454640 is an abundant number, since it is smaller than the sum of its proper divisors (309718080).

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

130454640 is a wasteful number, since it uses less digits than its factorization.

130454640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130454640 is about 11421.6741329807. The cubic root of 130454640 is about 507.1695568641.

The spelling of 130454640 in words is "one hundred thirty million, four hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 409 443 720 818 886 1227 1329 1636 1772 2045 2215 2454 2658 3272 3544 3681 3987 4090 4430 4908 5316 6135 6544 6645 7088 7362 7974 8180 8860 9816 10632 12270 13290 14724 15948 16360 17720 18405 19632 19935 21264 24540 26580 29448 31896 32720 35440 36810 39870 49080 53160 58896 63792 73620 79740 98160 106320 147240 159480 181187 294480 318960 362374 543561 724748 905935 1087122 1449496 1630683 1811870 2174244 2717805 2898992 3261366 3623740 4348488 5435610 6522732 7247480 8153415 8696976 10871220 13045464 14494960 16306830 21742440 26090928 32613660 43484880 65227320 130454640