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631170020 = 2251312771901
BaseRepresentation
bin100101100111101…
…110001111100100
31121222122202111102
4211213232033210
52243034420040
6142344055232
721432566555
oct4547561744
91558582442
10631170020
112a4308418
12157464518
13a09c02b0
145db7c32c
153a628515
hex259ee3e4

631170020 has 48 divisors (see below), whose sum is σ = 1429284528. Its totient is φ = 232742400.

The previous prime is 631170017. The next prime is 631170041. The reversal of 631170020 is 20071136.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110965156 + 520204864 = 10534^2 + 22808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 631169974 and 631170001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331070 + ... + 332970.

It is an arithmetic number, because the mean of its divisors is an integer number (29776761).

Almost surely, 2631170020 is an apocalyptic number.

It is an amenable number.

631170020 is an abundant number, since it is smaller than the sum of its proper divisors (798114508).

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

631170020 is a wasteful number, since it uses less digits than its factorization.

631170020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 631170020 is about 25123.0973408933. The cubic root of 631170020 is about 857.7922550412.

The spelling of 631170020 in words is "six hundred thirty-one million, one hundred seventy thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1277 1901 2554 3802 5108 6385 7604 9505 12770 16601 19010 24713 25540 33202 38020 49426 66404 83005 98852 123565 166010 247130 332020 494260 2427577 4855154 9710308 12137885 24275770 31558501 48551540 63117002 126234004 157792505 315585010 631170020