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680016 = 24331457
BaseRepresentation
bin10100110000001010000
31021112210210
42212001100
5133230031
622324120
75531361
oct2460120
91245723
10680016
114249a7
12289640
131aa69c
14139b68
15d6746
hexa6050

680016 has 40 divisors (see below), whose sum is σ = 1817344. Its totient is φ = 218880.

The previous prime is 680003. The next prime is 680027. The reversal of 680016 is 610086.

It is a junction number, because it is equal to n+sod(n) for n = 679974 and 680001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1260 + ... + 1716.

2680016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908672).

680016 is an abundant number, since it is smaller than the sum of its proper divisors (1137328).

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

680016 is a wasteful number, since it uses less digits than its factorization.

680016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 680016 is about 824.6308264915. The cubic root of 680016 is about 87.9372831365.

The spelling of 680016 in words is "six hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 457 496 744 914 1371 1488 1828 2742 3656 5484 7312 10968 14167 21936 28334 42501 56668 85002 113336 170004 226672 340008 680016