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631050420 = 22357211131979
BaseRepresentation
bin100101100111010…
…001000010110100
31121222102200102210
4211213101002310
52243022103140
6142341333420
721431561100
oct4547210264
91558380383
10631050420
112a4236580
12157407270
13a097aa20
145db4a900
153a602d80
hex259d10b4

631050420 has 576 divisors, whose sum is σ = 2574028800. Its totient is φ = 113218560.

The previous prime is 631050419. The next prime is 631050451. The reversal of 631050420 is 24050136.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7987941 + ... + 7988019.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2631050420 is an apocalyptic number.

631050420 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 631050420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

631050420 is an abundant number, since it is smaller than the sum of its proper divisors (1942978380).

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

631050420 is a wasteful number, since it uses less digits than its factorization.

631050420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 631050420 is about 25120.7169483675. The cubic root of 631050420 is about 857.7380707848.

The spelling of 631050420 in words is "six hundred thirty-one million, fifty thousand, four hundred twenty".