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517300680 = 233513331603
BaseRepresentation
bin11110110101010…
…110000111001000
31100001101121010110
4132311112013020
52024412110210
6123155314320
715550661151
oct3665260710
91301347113
10517300680
11246003726
121252ab9a0
13832319a0
144c9ba928
1530634420
hex1ed561c8

517300680 has 64 divisors (see below), whose sum is σ = 1671284160. Its totient is φ = 127335168.

The previous prime is 517300661. The next prime is 517300681. The reversal of 517300680 is 86003715.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (517300681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164242 + ... + 167361.

It is an arithmetic number, because the mean of its divisors is an integer number (26113815).

Almost surely, 2517300680 is an apocalyptic number.

It is an amenable number.

517300680 is an abundant number, since it is smaller than the sum of its proper divisors (1153983480).

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

517300680 is a wasteful number, since it uses less digits than its factorization.

517300680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331630 (or 331626 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 517300680 is about 22744.2449863696. The cubic root of 517300680 is about 802.7512979359.

The spelling of 517300680 in words is "five hundred seventeen million, three hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 331603 663206 994809 1326412 1658015 1989618 2652824 3316030 3979236 4310839 4974045 6632060 7958472 8621678 9948090 12932517 13264120 17243356 19896180 21554195 25865034 34486712 39792360 43108390 51730068 64662585 86216780 103460136 129325170 172433560 258650340 517300680