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130467456 = 273375393
BaseRepresentation
bin1111100011011…
…00011010000000
3100002111102201000
413301230122000
5231344424311
620540212000
73142645410
oct761543200
9302442630
10130467456
1167711149
123783a000
13210504a2
1413482640
15b6c2056
hex7c6c680

130467456 has 128 divisors (see below), whose sum is σ = 440150400. Its totient is φ = 37269504.

The previous prime is 130467443. The next prime is 130467511. The reversal of 130467456 is 654764031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1304674562 = 34043514150223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130467456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21496 + ... + 26888.

It is an arithmetic number, because the mean of its divisors is an integer number (3438675).

Almost surely, 2130467456 is an apocalyptic number.

130467456 is a gapful number since it is divisible by the number (16) 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 130467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220075200).

130467456 is an abundant number, since it is smaller than the sum of its proper divisors (309682944).

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

130467456 is an equidigital number, since it uses as much as digits as its factorization.

130467456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 130467456 is about 11422.2351577964. The cubic root of 130467456 is about 507.1861646092.

It can be divided in two parts, 13046 and 7456, that added together give a palindrome (20502).

The spelling of 130467456 in words is "one hundred thirty million, four hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 5393 6048 8064 10786 12096 16179 21572 24192 32358 37751 43144 48537 64716 75502 86288 97074 113253 129432 145611 151004 172576 194148 226506 258864 291222 302008 339759 345152 388296 453012 517728 582444 604016 679518 690304 776592 906024 1019277 1035456 1164888 1208032 1359036 1553184 1812048 2038554 2070912 2329776 2416064 2718072 3106368 3624096 4077108 4659552 4832128 5436144 6212736 7248192 8154216 9319104 10872288 14496384 16308432 18638208 21744576 32616864 43489152 65233728 130467456