Search a number
-
+
11049264 = 243325577
BaseRepresentation
bin101010001001…
…100100110000
3202210100202000
4222021210300
510312034024
61032454000
7162626412
oct52114460
922710660
1011049264
116267526
12384a300
13239b335
1416789b2
15e83cc9
hexa89930

11049264 has 40 divisors (see below), whose sum is σ = 31716720. Its totient is φ = 3682944.

The previous prime is 11049257. The next prime is 11049287. The reversal of 11049264 is 46294011.

11049264 is a `hidden beast` number, since 110 + 492 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12357 + ... + 13220.

It is an arithmetic number, because the mean of its divisors is an integer number (792918).

Almost surely, 211049264 is an apocalyptic number.

It is an amenable number.

11049264 is an abundant number, since it is smaller than the sum of its proper divisors (20667456).

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

11049264 is a wasteful number, since it uses less digits than its factorization.

11049264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25594 (or 25582 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11049264 is about 3324.0433210173. The cubic root of 11049264 is about 222.7295211819.

The spelling of 11049264 in words is "eleven million, forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 25577 51154 76731 102308 153462 204616 230193 306924 409232 460386 613848 690579 920772 1227696 1381158 1841544 2762316 3683088 5524632 11049264