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10630120 = 2351971197
BaseRepresentation
bin101000100011…
…001111101000
3202000001210011
4220203033220
510210130440
61015501304
7156232414
oct50431750
922001704
1010630120
116000626
123687834
132282617
1415a9d44
15dee9ea
hexa233e8

10630120 has 64 divisors (see below), whose sum is σ = 25660800. Its totient is φ = 3951360.

The previous prime is 10630093. The next prime is 10630121. The reversal of 10630120 is 2103601.

It is a super-2 number, since 2×106301202 = 225998902428800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10630120.

It is not an unprimeable number, because it can be changed into a prime (10630121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53862 + ... + 54058.

It is an arithmetic number, because the mean of its divisors is an integer number (400950).

Almost surely, 210630120 is an apocalyptic number.

10630120 is a gapful number since it is divisible by the number (10) 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 10630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830400).

10630120 is an abundant number, since it is smaller than the sum of its proper divisors (15030680).

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

10630120 is a wasteful number, since it uses less digits than its factorization.

10630120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10630120 is about 3260.3864801584. The cubic root of 10630120 is about 219.8767905144.

Adding to 10630120 its reverse (2103601), we get a palindrome (12733721).

The spelling of 10630120 in words is "ten million, six hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 190 197 284 355 380 394 568 710 760 788 985 1349 1420 1576 1970 2698 2840 3743 3940 5396 6745 7486 7880 10792 13490 13987 14972 18715 26980 27974 29944 37430 53960 55948 69935 74860 111896 139870 149720 265753 279740 531506 559480 1063012 1328765 2126024 2657530 5315060 10630120