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630504 = 23347139
BaseRepresentation
bin10011001111011101000
31012000220000
42121323220
5130134004
621303000
75234130
oct2317350
91160800
10630504
113a0786
12264a60
13190ca4
14125ac0
15c6c39
hex99ee8

630504 has 80 divisors (see below), whose sum is σ = 2032800. Its totient is φ = 178848.

The previous prime is 630493. The next prime is 630521. The reversal of 630504 is 405036.

It is a happy number.

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

It is an unprimeable number.

630504 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 19 ways as a sum of consecutive naturals, for example, 4467 + ... + 4605.

It is an arithmetic number, because the mean of its divisors is an integer number (25410).

2630504 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 630504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016400).

630504 is an abundant number, since it is smaller than the sum of its proper divisors (1402296).

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

630504 is a wasteful number, since it uses less digits than its factorization.

630504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 630504 is about 794.0428200041. The cubic root of 630504 is about 85.7490430468.

The spelling of 630504 in words is "six hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 139 162 168 189 216 252 278 324 378 417 504 556 567 648 756 834 973 1112 1134 1251 1512 1668 1946 2268 2502 2919 3336 3753 3892 4536 5004 5838 7506 7784 8757 10008 11259 11676 15012 17514 22518 23352 26271 30024 35028 45036 52542 70056 78813 90072 105084 157626 210168 315252 630504