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630828 = 22351159
BaseRepresentation
bin10011010000000101100
31012001100000
42122000230
5130141303
621304300
75235102
oct2320054
91161300
10630828
113a0a50
12265090
13191193
14125c72
15c6da3
hex9a02c

630828 has 72 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 187920.

The previous prime is 630827. The next prime is 630841. The reversal of 630828 is 828036.

630828 is a `hidden beast` number, since 630 + 8 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (630823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10663 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2630828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

630828 is an abundant number, since it is smaller than the sum of its proper divisors (1203732).

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

630828 is a wasteful number, since it uses less digits than its factorization.

630828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 630828 is about 794.2468130248. The cubic root of 630828 is about 85.7637286170.

It can be divided in two parts, 6308 and 28, that added together give a palindrome (6336).

The spelling of 630828 in words is "six hundred thirty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 81 99 108 118 132 162 177 198 236 243 297 324 354 396 486 531 594 649 708 891 972 1062 1188 1298 1593 1782 1947 2124 2596 2673 3186 3564 3894 4779 5346 5841 6372 7788 9558 10692 11682 14337 17523 19116 23364 28674 35046 52569 57348 70092 105138 157707 210276 315414 630828