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681924060 = 22325171937317
BaseRepresentation
bin101000101001010…
…101010111011100
31202112011022221200
4220221111113130
52344033032220
6151355555500
722620154536
oct5051252734
91675138850
10681924060
1131aa23704
1217045bb90
13ab38097c
14667d0856
153ed01890
hex28a555dc

681924060 has 288 divisors, whose sum is σ = 2375231040. Its totient is φ = 157261824.

The previous prime is 681924059. The next prime is 681924071. The reversal of 681924060 is 60429186.

681924060 is a `hidden beast` number, since 68 + 192 + 406 + 0 = 666.

681924060 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2151022 + ... + 2151338.

It is an arithmetic number, because the mean of its divisors is an integer number (8247330).

Almost surely, 2681924060 is an apocalyptic number.

681924060 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 681924060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187615520).

681924060 is an abundant number, since it is smaller than the sum of its proper divisors (1693306980).

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

681924060 is a wasteful number, since it uses less digits than its factorization.

681924060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 681924060 is about 26113.6757274804. The cubic root of 681924060 is about 880.1945420444.

The spelling of 681924060 in words is "six hundred eighty-one million, nine hundred twenty-four thousand, sixty".