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683385120 = 253351173197
BaseRepresentation
bin101000101110111…
…010000100100000
31202121220120011000
4220232322010200
52344421310440
6151451152000
722635451305
oct5056720440
91677816130
10683385120
113208313a0
12170a45600
13ab7729c2
1466a910ac
153eede730
hex28bba120

683385120 has 384 divisors, whose sum is σ = 2658458880. Its totient is φ = 162570240.

The previous prime is 683385067. The next prime is 683385137. The reversal of 683385120 is 21583386.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3468862 + ... + 3469058.

It is an arithmetic number, because the mean of its divisors is an integer number (6923070).

Almost surely, 2683385120 is an apocalyptic number.

683385120 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 683385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329229440).

683385120 is an abundant number, since it is smaller than the sum of its proper divisors (1975073760).

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

683385120 is a wasteful number, since it uses less digits than its factorization.

683385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 683385120 is about 26141.6357560119. The cubic root of 683385120 is about 880.8227154489.

The spelling of 683385120 in words is "six hundred eighty-three million, three hundred eighty-five thousand, one hundred twenty".