Search a number
-
+
10630860 = 22351631087
BaseRepresentation
bin101000100011…
…011011001100
3202000002210120
4220203123030
510210141420
61015504540
7156234522
oct50433314
922002716
1010630860
116001139
123688150
132282a66
1415aa312
15deed40
hexa236cc

10630860 has 48 divisors (see below), whose sum is σ = 29976576. Its totient is φ = 2814912.

The previous prime is 10630819. The next prime is 10630871. The reversal of 10630860 is 6803601.

It is a super-2 number, since 2×106308602 = 226030368679200, 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 10630860.

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 15 ways as a sum of consecutive naturals, for example, 9237 + ... + 10323.

It is an arithmetic number, because the mean of its divisors is an integer number (624512).

Almost surely, 210630860 is an apocalyptic number.

10630860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3260×3261.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10630860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988288).

10630860 is an abundant number, since it is smaller than the sum of its proper divisors (19345716).

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

10630860 is a wasteful number, since it uses less digits than its factorization.

10630860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10630860 is about 3260.4999616623. The cubic root of 10630860 is about 219.8818925280.

The spelling of 10630860 in words is "ten million, six hundred thirty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1087 1630 1956 2174 2445 3260 3261 4348 4890 5435 6522 9780 10870 13044 16305 21740 32610 65220 177181 354362 531543 708724 885905 1063086 1771810 2126172 2657715 3543620 5315430 10630860