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631018080 = 253357211271
BaseRepresentation
bin100101100111001…
…001001001100000
31121222101001002000
4211213021021200
52243020034310
6142340524000
721431364600
oct4547111140
91558331060
10631018080
112a4214250
121573b0600
13a09690a4
145db3cc00
153a5e84c0
hex259c9260

631018080 has 576 divisors, whose sum is σ = 2813045760. Its totient is φ = 130636800.

The previous prime is 631018043. The next prime is 631018081. The reversal of 631018080 is 80810136.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631018081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328345 + ... + 2328615.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2631018080 is an apocalyptic number.

631018080 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 631018080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

631018080 is an abundant number, since it is smaller than the sum of its proper divisors (2182027680).

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

631018080 is a wasteful number, since it uses less digits than its factorization.

631018080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 631018080 is about 25120.0732483008. The cubic root of 631018080 is about 857.7234181136.

The spelling of 631018080 in words is "six hundred thirty-one million, eighteen thousand, eighty".