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621316080 = 2432572111601
BaseRepresentation
bin100101000010001…
…000011111110000
31121022010010102200
4211002020133300
52233024103310
6141352543200
721253046100
oct4502103760
91538103380
10621316080
11299797a70
121540b1b00
139b950068
145c735200
153982d9c0
hex250887f0

621316080 has 360 divisors, whose sum is σ = 2649567024. Its totient is φ = 129024000.

The previous prime is 621316063. The next prime is 621316081. The reversal of 621316080 is 80613126.

621316080 is a `hidden beast` number, since 6 + 21 + 31 + 608 + 0 = 666.

621316080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621316081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387280 + ... + 388880.

Almost surely, 2621316080 is an apocalyptic number.

621316080 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 621316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324783512).

621316080 is an abundant number, since it is smaller than the sum of its proper divisors (2028250944).

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

621316080 is a wasteful number, since it uses less digits than its factorization.

621316080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 621316080 is about 24926.2127087129. The cubic root of 621316080 is about 853.3048181118.

The spelling of 621316080 in words is "six hundred twenty-one million, three hundred sixteen thousand, eighty".