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682993080 = 2333571143191
BaseRepresentation
bin101000101101011…
…010010110111000
31202121011122101000
4220231122112320
52344321234310
6151434525000
722632226320
oct5055322670
91677148330
10682993080
113205938a0
12170896760
13ab666423
14669cc280
153ee634c0
hex28b5a5b8

682993080 has 512 divisors, whose sum is σ = 2919628800. Its totient is φ = 137894400.

The previous prime is 682993079. The next prime is 682993097. The reversal of 682993080 is 80399286.

682993080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3575785 + ... + 3575975.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2682993080 is an apocalyptic number.

682993080 is a gapful number since it is divisible by the number (60) 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 682993080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459814400).

682993080 is an abundant number, since it is smaller than the sum of its proper divisors (2236635720).

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

682993080 is a wasteful number, since it uses less digits than its factorization.

682993080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 682993080 is about 26134.1362971880. The cubic root of 682993080 is about 880.6542483179.

The spelling of 682993080 in words is "six hundred eighty-two million, nine hundred ninety-three thousand, eighty".