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630420 = 223571979
BaseRepresentation
bin10011001111010010100
31012000202220
42121322110
5130133140
621302340
75233650
oct2317224
91160686
10630420
113a070a
122649b0
13190c3b
14125a60
15c6bd0
hex99e94

630420 has 96 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 134784.

The previous prime is 630391. The next prime is 630433. The reversal of 630420 is 24036.

630420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 630420.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 630420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7941 + ... + 8019.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

2630420 is an apocalyptic number.

630420 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 630420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

630420 is an abundant number, since it is smaller than the sum of its proper divisors (1519980).

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

630420 is a wasteful number, since it uses less digits than its factorization.

630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 630420 is about 793.9899243693. The cubic root of 630420 is about 85.7452348555.

Adding to 630420 its reverse (24036), we get a palindrome (654456).

The spelling of 630420 in words is "six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 79 84 95 105 114 133 140 158 190 210 228 237 266 285 316 380 395 399 420 474 532 553 570 665 790 798 948 1106 1140 1185 1330 1501 1580 1596 1659 1995 2212 2370 2660 2765 3002 3318 3990 4503 4740 5530 6004 6636 7505 7980 8295 9006 10507 11060 15010 16590 18012 21014 22515 30020 31521 33180 42028 45030 52535 63042 90060 105070 126084 157605 210140 315210 630420