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630990360 = 233257111317103
BaseRepresentation
bin100101100111000…
…010011000011000
31121222022122001100
4211213002120120
52243013142420
6142340151400
721431221020
oct4547023030
91558278040
10630990360
112a41a5440
12157398560
13a09595a0
145db32a80
153a5e0190
hex259c2618

630990360 has 768 divisors, whose sum is σ = 2943682560. Its totient is φ = 112803840.

The previous prime is 630990307. The next prime is 630990383. The reversal of 630990360 is 63099036.

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 191 ways as a sum of consecutive naturals, for example, 6126069 + ... + 6126171.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2630990360 is an apocalyptic number.

630990360 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 630990360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471841280).

630990360 is an abundant number, since it is smaller than the sum of its proper divisors (2312692200).

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

630990360 is a wasteful number, since it uses less digits than its factorization.

630990360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 630990360 is about 25119.5214922578. The cubic root of 630990360 is about 857.7108582826.

It can be divided in two parts, 6309 and 90360, that added together give a palindrome (96669).

The spelling of 630990360 in words is "six hundred thirty million, nine hundred ninety thousand, three hundred sixty".