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683560416 = 2537111931157
BaseRepresentation
bin101000101111100…
…100110111100000
31202122020110121110
4220233210313200
52344442413131
6151455023320
722640111340
oct5057446740
91678213543
10683560416
11320941070
12170b0ab40
13ab804726
1466ad8d20
1540026646
hex28be4de0

683560416 has 384 divisors, whose sum is σ = 2446295040. Its totient is φ = 161740800.

The previous prime is 683560411. The next prime is 683560441. The reversal of 683560416 is 614065386.

683560416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683560411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353810 + ... + 4353966.

It is an arithmetic number, because the mean of its divisors is an integer number (6370560).

Almost surely, 2683560416 is an apocalyptic number.

683560416 is a gapful number since it is divisible by the number (66) 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 683560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223147520).

683560416 is an abundant number, since it is smaller than the sum of its proper divisors (1762734624).

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

683560416 is a wasteful number, since it uses less digits than its factorization.

683560416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 683560416 is about 26144.9883534111. The cubic root of 683560416 is about 880.8980226678.

The spelling of 683560416 in words is "six hundred eighty-three million, five hundred sixty thousand, four hundred sixteen".