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630728 = 23721609
BaseRepresentation
bin10011001111111001000
31012001012022
42121333020
5130140403
621304012
75234600
oct2317710
91161168
10630728
113a096a
12265008
13191117
14125c00
15c6d38
hex99fc8

630728 has 24 divisors (see below), whose sum is σ = 1376550. Its totient is φ = 270144.

The previous prime is 630719. The next prime is 630733. The reversal of 630728 is 827036.

It can be written as a sum of positive squares in only one way, i.e., 362404 + 268324 = 602^2 + 518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 630697 and 630706.

It is an unprimeable number.

630728 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413 + ... + 1196.

2630728 is an apocalyptic number.

It is an amenable number.

630728 is an abundant number, since it is smaller than the sum of its proper divisors (745822).

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

630728 is a wasteful number, since it uses less digits than its factorization.

630728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 630728 is about 794.1838578062. The cubic root of 630728 is about 85.7591965702.

The spelling of 630728 in words is "six hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1609 3218 6436 11263 12872 22526 45052 78841 90104 157682 315364 630728