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683513120 = 25512013557
BaseRepresentation
bin101000101111011…
…001010100100000
31202122011001201202
4220233121110200
52344434404440
6151454020332
722636523423
oct5057312440
91678131652
10683513120
11320909584
12170aa76a8
13ab7b9044
1466ac59ba
1540017615
hex28bd9520

683513120 has 48 divisors (see below), whose sum is σ = 1616598648. Its totient is φ = 273100800.

The previous prime is 683513107. The next prime is 683513137. The reversal of 683513120 is 21315386.

683513120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 169312144 + 514200976 = 13012^2 + 22676^2 .

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 7 ways as a sum of consecutive naturals, for example, 190382 + ... + 193938.

Almost surely, 2683513120 is an apocalyptic number.

It is an amenable number.

683513120 is an abundant number, since it is smaller than the sum of its proper divisors (933085528).

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

683513120 is a wasteful number, since it uses less digits than its factorization.

683513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 683513120 is about 26144.0838431948. The cubic root of 683513120 is about 880.8777055591.

The spelling of 683513120 in words is "six hundred eighty-three million, five hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1201 2402 3557 4804 6005 7114 9608 12010 14228 17785 19216 24020 28456 35570 38432 48040 56912 71140 96080 113824 142280 192160 284560 569120 4271957 8543914 17087828 21359785 34175656 42719570 68351312 85439140 136702624 170878280 341756560 683513120