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630084 = 223713577
BaseRepresentation
bin10011001110101000100
31012000022110
42121311010
5130130314
621301020
75232660
oct2316504
91160273
10630084
113a0434
12264770
13190a40
141258a0
15c6a59
hex99d44

630084 has 48 divisors (see below), whose sum is σ = 1812608. Its totient is φ = 165888.

The previous prime is 630067. The next prime is 630101. The reversal of 630084 is 480036.

It is an interprime number because it is at equal distance from previous prime (630067) and next prime (630101).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 630084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804 + ... + 1380.

2630084 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 630084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906304).

630084 is an abundant number, since it is smaller than the sum of its proper divisors (1182524).

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

630084 is a wasteful number, since it uses less digits than its factorization.

630084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 630084 is about 793.7783065819. The cubic root of 630084 is about 85.7299987066.

The spelling of 630084 in words is "six hundred thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 577 1092 1154 1731 2308 3462 4039 6924 7501 8078 12117 15002 16156 22503 24234 30004 45006 48468 52507 90012 105014 157521 210028 315042 630084