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630027120 = 24353770949
BaseRepresentation
bin100101100011010…
…111001101110000
31121220111200201210
4211203113031300
52242241331440
6142303400120
721420066522
oct4543271560
91556450653
10630027120
112a36a7778
12156bb3040
13a06b0018
145d961a12
153a49ea80
hex258d7370

630027120 has 80 divisors (see below), whose sum is σ = 2005898400. Its totient is φ = 163464192.

The previous prime is 630027119. The next prime is 630027127. The reversal of 630027120 is 21720036.

It is a happy number.

630027120 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630027127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26595 + ... + 44354.

It is an arithmetic number, because the mean of its divisors is an integer number (25073730).

Almost surely, 2630027120 is an apocalyptic number.

630027120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630027120 is an abundant number, since it is smaller than the sum of its proper divisors (1375871280).

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

630027120 is a wasteful number, since it uses less digits than its factorization.

630027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71002 (or 70996 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 630027120 is about 25100.3410335398. The cubic root of 630027120 is about 857.2741890826.

Adding to 630027120 its reverse (21720036), we get a palindrome (651747156).

The spelling of 630027120 in words is "six hundred thirty million, twenty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 70949 141898 212847 283796 354745 425694 567592 709490 851388 1064235 1135184 1418980 1702776 2128470 2625113 2837960 3405552 4256940 5250226 5675920 7875339 8513880 10500452 13125565 15750678 17027760 21000904 26251130 31501356 39376695 42001808 52502260 63002712 78753390 105004520 126005424 157506780 210009040 315013560 630027120