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11266464 = 2531147227
BaseRepresentation
bin101010111110…
…100110100000
3210012101200110
4222332212200
510341011324
61041251320
7164522556
oct52764640
923171613
1011266464
1163a5730
123933b40
132446161
1416d3bd6
15ec8329
hexabe9a0

11266464 has 96 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 3326720.

The previous prime is 11266457. The next prime is 11266483. The reversal of 11266464 is 46466211.

11266464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112664642 = 253866422126592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49519 + ... + 49745.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 211266464 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 11266464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

11266464 is an abundant number, since it is smaller than the sum of its proper divisors (21828192).

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

11266464 is a wasteful number, since it uses less digits than its factorization.

11266464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 11266464 is about 3356.5553771687. Note that the first 3 decimals coincide. The cubic root of 11266464 is about 224.1794904902.

The spelling of 11266464 in words is "eleven million, two hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 227 264 282 352 376 454 517 528 564 681 752 908 1034 1056 1128 1362 1504 1551 1816 2068 2256 2497 2724 3102 3632 4136 4512 4994 5448 6204 7264 7491 8272 9988 10669 10896 12408 14982 16544 19976 21338 21792 24816 29964 32007 39952 42676 49632 59928 64014 79904 85352 117359 119856 128028 170704 234718 239712 256056 341408 352077 469436 512112 704154 938872 1024224 1408308 1877744 2816616 3755488 5633232 11266464