Search a number
-
+
11192796 = 2233372801
BaseRepresentation
bin101010101100…
…100111011100
3210001122122000
4222230213130
510331132141
61035522300
7164065026
oct52544734
923048560
1011192796
11635534a
1238b9390
13241b774
1416b5016
15eb15b6
hexaac9dc

11192796 has 48 divisors (see below), whose sum is σ = 29813280. Its totient is φ = 3628800.

The previous prime is 11192777. The next prime is 11192801. The reversal of 11192796 is 69729111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11192796.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2596 + ... + 5396.

It is an arithmetic number, because the mean of its divisors is an integer number (621110).

Almost surely, 211192796 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 11192796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906640).

11192796 is an abundant number, since it is smaller than the sum of its proper divisors (18620484).

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

11192796 is a wasteful number, since it uses less digits than its factorization.

11192796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2843 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11192796 is about 3345.5636296445. The cubic root of 11192796 is about 223.6898076803.

The spelling of 11192796 in words is "eleven million, one hundred ninety-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 2801 3996 5602 8403 11204 16806 25209 33612 50418 75627 100836 103637 151254 207274 302508 310911 414548 621822 932733 1243644 1865466 2798199 3730932 5596398 11192796