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631080 = 233251753
BaseRepresentation
bin10011010000100101000
31012001200100
42122010220
5130143310
621305400
75235612
oct2320450
91161610
10631080
113a115a
12265260
13191328
14125db2
15c6ec0
hex9a128

631080 has 48 divisors (see below), whose sum is σ = 2052180. Its totient is φ = 168192.

The previous prime is 631061. The next prime is 631121. The reversal of 631080 is 80136.

It can be written as a sum of positive squares in 2 ways, for example, as 544644 + 86436 = 738^2 + 294^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

631080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517 + ... + 1236.

2631080 is an apocalyptic number.

631080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

631080 is an abundant number, since it is smaller than the sum of its proper divisors (1421100).

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

631080 is a wasteful number, since it uses less digits than its factorization.

631080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 631080 is about 794.4054380479. The cubic root of 631080 is about 85.7751472512.

The spelling of 631080 in words is "six hundred thirty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1753 3506 5259 7012 8765 10518 14024 15777 17530 21036 26295 31554 35060 42072 52590 63108 70120 78885 105180 126216 157770 210360 315540 631080