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11885796 = 223213109233
BaseRepresentation
bin101101010101…
…110011100100
3211100212020200
4231111303210
511020321141
61102430500
7203012316
oct55256344
924325220
1011885796
116788a7a
123b92430
132602020
1418157b6
15109bab6
hexb55ce4

11885796 has 72 divisors (see below), whose sum is σ = 32792760. Its totient is φ = 3608064.

The previous prime is 11885767. The next prime is 11885801. The reversal of 11885796 is 69758811.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 11655396 = 480^2 + 3414^2 .

Its product of digits (120960) is a multiple of the sum of its prime divisors (360).

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 23 ways as a sum of consecutive naturals, for example, 50896 + ... + 51128.

It is an arithmetic number, because the mean of its divisors is an integer number (455455).

Almost surely, 211885796 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 11885796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396380).

11885796 is an abundant number, since it is smaller than the sum of its proper divisors (20906964).

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

11885796 is a wasteful number, since it uses less digits than its factorization.

11885796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 11885796 is about 3447.5782804746. The cubic root of 11885796 is about 228.2142492094.

The spelling of 11885796 in words is "eleven million, eight hundred eighty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 218 233 234 327 436 466 468 654 699 932 981 1308 1398 1417 1962 2097 2796 2834 3029 3924 4194 4251 5668 6058 8388 8502 9087 12116 12753 17004 18174 25397 25506 27261 36348 50794 51012 54522 76191 101588 109044 152382 228573 304764 330161 457146 660322 914292 990483 1320644 1980966 2971449 3961932 5942898 11885796