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631020 = 223513809
BaseRepresentation
bin10011010000011101100
31012001121010
42122003230
5130143040
621305220
75235465
oct2320354
91161533
10631020
113a1105
12265210
131912b0
14125d6c
15c6e80
hex9a0ec

631020 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 155136.

The previous prime is 631013. The next prime is 631039. The reversal of 631020 is 20136.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 630987 and 631005.

It is an unprimeable number.

631020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2631020 is an apocalyptic number.

631020 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 631020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

631020 is an abundant number, since it is smaller than the sum of its proper divisors (1274100).

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

631020 is a wasteful number, since it uses less digits than its factorization.

631020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 631020 is about 794.3676730583. The cubic root of 631020 is about 85.7724288045.

Adding to 631020 its reverse (20136), we get a palindrome (651156).

The spelling of 631020 in words is "six hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 809 1618 2427 3236 4045 4854 8090 9708 10517 12135 16180 21034 24270 31551 42068 48540 52585 63102 105170 126204 157755 210340 315510 631020