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630104020 = 225713461751
BaseRepresentation
bin100101100011101…
…001111111010100
31121220122121012221
4211203221333110
52242301312040
6142305152124
721420536650
oct4543517724
91556577187
10630104020
112a374a527
1215702b644
13a0709020
145d981a60
153a4b774a
hex258e9fd4

630104020 has 96 divisors (see below), whose sum is σ = 1634282496. Its totient is φ = 198720000.

The previous prime is 630103961. The next prime is 630104053. The reversal of 630104020 is 20401036.

It is a junction number, because it is equal to n+sod(n) for n = 630103985 and 630104003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838645 + ... + 839395.

It is an arithmetic number, because the mean of its divisors is an integer number (17023776).

Almost surely, 2630104020 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 630104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817141248).

630104020 is an abundant number, since it is smaller than the sum of its proper divisors (1004178476).

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

630104020 is a wasteful number, since it uses less digits than its factorization.

630104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 630104020 is about 25101.8728384955. The cubic root of 630104020 is about 857.3090667892.

Adding to 630104020 its reverse (20401036), we get a palindrome (650505056).

The spelling of 630104020 in words is "six hundred thirty million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 461 751 910 922 1502 1820 1844 2305 3004 3227 3755 4610 5257 5993 6454 7510 9220 9763 10514 11986 12908 15020 16135 19526 21028 23972 26285 29965 32270 39052 41951 48815 52570 59930 64540 68341 83902 97630 105140 119860 136682 167804 195260 209755 273364 341705 346211 419510 683410 692422 839020 1366820 1384844 1731055 2423477 3462110 4500743 4846954 6924220 9001486 9693908 12117385 18002972 22503715 24234770 31505201 45007430 48469540 63010402 90014860 126020804 157526005 315052010 630104020