Search a number
-
+
11912868 = 22321167449
BaseRepresentation
bin101101011100…
…011010100100
3211102020101100
4231130122210
511022202433
61103200100
7203154252
oct55343244
924366340
1011912868
1167a7350
123ba6030
132611446
1418215d2
1510a4b13
hexb5c6a4

11912868 has 72 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 3548160.

The previous prime is 11912851. The next prime is 11912891. The reversal of 11912868 is 86821911.

11912868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26308 + ... + 26756.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 211912868 is an apocalyptic number.

11912868 is a gapful number since it is divisible by the number (18) 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 11912868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

11912868 is an abundant number, since it is smaller than the sum of its proper divisors (21502332).

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

11912868 is a wasteful number, since it uses less digits than its factorization.

11912868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 532 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11912868 is about 3451.5022816159. The cubic root of 11912868 is about 228.3873839163.

The spelling of 11912868 in words is "eleven million, nine hundred twelve thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 449 603 737 804 898 1206 1347 1474 1796 2211 2412 2694 2948 4041 4422 4939 5388 6633 8082 8844 9878 13266 14817 16164 19756 26532 29634 30083 44451 59268 60166 88902 90249 120332 177804 180498 270747 330913 360996 541494 661826 992739 1082988 1323652 1985478 2978217 3970956 5956434 11912868