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630513120 = 25351313569
BaseRepresentation
bin100101100101001…
…101110111100000
31121221102101101210
4211211031313200
52242402404440
6142322030120
721424162446
oct4545156740
91557371353
10630513120
112a39a9926
121571a8340
13a08202b3
145da4ab96
153a548a80
hex2594dde0

630513120 has 48 divisors (see below), whose sum is σ = 1986117840. Its totient is φ = 168136704.

The previous prime is 630513109. The next prime is 630513127. The reversal of 630513120 is 21315036.

630513120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630513127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656305 + ... + 657264.

It is an arithmetic number, because the mean of its divisors is an integer number (41377455).

Almost surely, 2630513120 is an apocalyptic number.

630513120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630513120 is an abundant number, since it is smaller than the sum of its proper divisors (1355604720).

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

630513120 is a wasteful number, since it uses less digits than its factorization.

630513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313587 (or 1313579 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 630513120 is about 25110.0203106250. The cubic root of 630513120 is about 857.4945648719.

Adding to 630513120 its reverse (21315036), we get a palindrome (651828156).

The spelling of 630513120 in words is "six hundred thirty million, five hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1313569 2627138 3940707 5254276 6567845 7881414 10508552 13135690 15762828 19703535 21017104 26271380 31525656 39407070 42034208 52542760 63051312 78814140 105085520 126102624 157628280 210171040 315256560 630513120