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10630116 = 2234743109
BaseRepresentation
bin101000100011…
…001111100100
3202000001210000
4220203033210
510210130431
61015501300
7156232410
oct50431744
922001700
1010630116
116000622
123687830
132282613
1415a9d40
15dee9e6
hexa233e4

10630116 has 120 divisors (see below), whose sum is σ = 32795840. Its totient is φ = 2939328.

The previous prime is 10630093. The next prime is 10630121. The reversal of 10630116 is 61103601.

It is a super-2 number, since 2×106301162 = 225998732346912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 97470 + ... + 97578.

Almost surely, 210630116 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 10630116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397920).

10630116 is an abundant number, since it is smaller than the sum of its proper divisors (22165724).

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

10630116 is a wasteful number, since it uses less digits than its factorization.

10630116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10630116 is about 3260.3858667342. The cubic root of 10630116 is about 219.8767629353.

Adding to 10630116 its reverse (61103601), we get a palindrome (71733717).

The spelling of 10630116 in words is "ten million, six hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 109 126 129 162 172 189 218 252 258 301 324 327 378 387 436 516 567 602 654 756 763 774 903 981 1134 1161 1204 1308 1526 1548 1806 1962 2268 2289 2322 2709 2943 3052 3483 3612 3924 4578 4644 4687 5418 5886 6867 6966 8127 8829 9156 9374 10836 11772 13734 13932 14061 16254 17658 18748 20601 24381 27468 28122 32508 32809 35316 41202 42183 48762 56244 61803 65618 82404 84366 97524 98427 123606 126549 131236 168732 196854 247212 253098 295281 379647 393708 506196 590562 759294 885843 1181124 1518588 1771686 2657529 3543372 5315058 10630116