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626800680 = 233451143409
BaseRepresentation
bin100101010111000…
…011100000101000
31121200102202220000
4211113003200220
52240430110210
6142110303000
721350501142
oct4527034050
91550382800
10626800680
112a18a36a0
12155ab7a60
139cb2059c
145d361c92
153a063ac0
hex255c3828

626800680 has 320 divisors, whose sum is σ = 2357467200. Its totient is φ = 148055040.

The previous prime is 626800679. The next prime is 626800721. The reversal of 626800680 is 86008626.

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 79 ways as a sum of consecutive naturals, for example, 1532316 + ... + 1532724.

It is an arithmetic number, because the mean of its divisors is an integer number (7367085).

Almost surely, 2626800680 is an apocalyptic number.

626800680 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 626800680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178733600).

626800680 is an abundant number, since it is smaller than the sum of its proper divisors (1730666520).

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

626800680 is a wasteful number, since it uses less digits than its factorization.

626800680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 626800680 is about 25035.9876977123. The cubic root of 626800680 is about 855.8082845758.

The spelling of 626800680 in words is "six hundred twenty-six million, eight hundred thousand, six hundred eighty".