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680696016 = 2437111331457
BaseRepresentation
bin101000100100101…
…001100011010000
31202102211221101120
4220210221203100
52343224233031
6151313402240
722603551330
oct5044514320
91672757346
10680696016
1131a264aa0
1216bb69380
13ab040a10
14665910c0
153eb5ca96
hex289298d0

680696016 has 320 divisors, whose sum is σ = 2442510336. Its totient is φ = 157593600.

The previous prime is 680695979. The next prime is 680696021. The reversal of 680696016 is 610696086.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1489260 + ... + 1489716.

Almost surely, 2680696016 is an apocalyptic number.

680696016 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 680696016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221255168).

680696016 is an abundant number, since it is smaller than the sum of its proper divisors (1761814320).

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

680696016 is a wasteful number, since it uses less digits than its factorization.

680696016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 680696016 is about 26090.1517051933. The cubic root of 680696016 is about 879.6658579885.

It can be divided in two parts, 680 and 696016, that added together give a palindrome (696696).

The spelling of 680696016 in words is "six hundred eighty million, six hundred ninety-six thousand, sixteen".