Search a number
-
+
11102916 = 22311192233
BaseRepresentation
bin101010010110…
…101011000100
3202220002100010
4222112223010
510320243131
61033550220
7163242006
oct52265304
922802303
1011102916
1162a3870
123875370
1323b9896
141690376
15e94b46
hexa96ac4

11102916 has 72 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 3173760.

The previous prime is 11102893. The next prime is 11102933. The reversal of 11102916 is 61920111.

It is a junction number, because it is equal to n+sod(n) for n = 11102892 and 11102901.

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 23 ways as a sum of consecutive naturals, for example, 47536 + ... + 47768.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 211102916 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 11102916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

11102916 is an abundant number, since it is smaller than the sum of its proper divisors (18852828).

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

11102916 is a wasteful number, since it uses less digits than its factorization.

11102916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 11102916 is about 3332.1038399186. The cubic root of 11102916 is about 223.0894424267.

The spelling of 11102916 in words is "eleven million, one hundred two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 233 361 418 466 627 699 722 836 932 1083 1254 1398 1444 2166 2508 2563 2796 3971 4332 4427 5126 7689 7942 8854 10252 11913 13281 15378 15884 17708 23826 26562 30756 47652 48697 53124 84113 97394 146091 168226 194788 252339 292182 336452 504678 584364 925243 1009356 1850486 2775729 3700972 5551458 11102916