Search a number
-
+
10808832 = 29331227
BaseRepresentation
bin101001001110…
…111000000000
3202100010221010
4221032320000
510231340312
61023400520
7160605426
oct51167000
922303833
1010808832
116112921
123753140
132315a78
141615116
15e3793c
hexa4ee00

10808832 has 80 divisors (see below), whose sum is σ = 29855232. Its totient is φ = 3471360.

The previous prime is 10808771. The next prime is 10808857. The reversal of 10808832 is 23880801.

It is a self number, because there is not a number n which added to its sum of digits gives 10808832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47503 + ... + 47729.

Almost surely, 210808832 is an apocalyptic number.

10808832 is a gapful number since it is divisible by the number (12) 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 10808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927616).

10808832 is an abundant number, since it is smaller than the sum of its proper divisors (19046400).

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

10808832 is an equidigital number, since it uses as much as digits as its factorization.

10808832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 10808832 is about 3287.6788164296. The cubic root of 10808832 is about 221.1021278828.

The spelling of 10808832 in words is "ten million, eight hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 227 248 256 372 384 454 496 512 681 744 768 908 992 1362 1488 1536 1816 1984 2724 2976 3632 3968 5448 5952 7037 7264 7936 10896 11904 14074 14528 15872 21111 21792 23808 28148 29056 42222 43584 47616 56296 58112 84444 87168 112592 116224 168888 174336 225184 337776 348672 450368 675552 900736 1351104 1801472 2702208 3602944 5404416 10808832