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813491360 = 255111513061
BaseRepresentation
bin110000011111001…
…110010010100000
32002200201122100122
4300133032102200
53131223210420
6212415535412
726105363633
oct6037162240
92080648318
10813491360
11388216110
121a852a568
13cc6c7946
147a07bc1a
154b63e725
hex307ce4a0

813491360 has 96 divisors (see below), whose sum is σ = 2111163264. Its totient is φ = 293760000.

The previous prime is 813491359. The next prime is 813491387. The reversal of 813491360 is 63194318.

It is a self number, because there is not a number n which added to its sum of digits gives 813491360.

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, 264230 + ... + 267290.

It is an arithmetic number, because the mean of its divisors is an integer number (21991284).

Almost surely, 2813491360 is an apocalyptic number.

813491360 is a gapful number since it is divisible by the number (80) 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 813491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055581632).

813491360 is an abundant number, since it is smaller than the sum of its proper divisors (1297671904).

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

813491360 is a wasteful number, since it uses less digits than its factorization.

813491360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 813491360 is about 28521.7699310544. The cubic root of 813491360 is about 933.5071490340.

The spelling of 813491360 in words is "eight hundred thirteen million, four hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 151 160 176 220 302 352 440 604 755 880 1208 1510 1661 1760 2416 3020 3061 3322 4832 6040 6122 6644 8305 12080 12244 13288 15305 16610 24160 24488 26576 30610 33220 33671 48976 53152 61220 66440 67342 97952 122440 132880 134684 168355 244880 265760 269368 336710 462211 489760 538736 673420 924422 1077472 1346840 1848844 2311055 2693680 3697688 4622110 5084321 5387360 7395376 9244220 10168642 14790752 18488440 20337284 25421605 36976880 40674568 50843210 73953760 81349136 101686420 162698272 203372840 406745680 813491360