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11464096 = 25761839
BaseRepresentation
bin101011101110…
…110110100000
3210120102210011
4223232312200
510413322341
61045414304
7166305010
oct53566640
923512704
1011464096
116520166
123a0a394
1324b50b7
141745c40
151016b81
hexaeeda0

11464096 has 48 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 4826880.

The previous prime is 11464093. The next prime is 11464109. The reversal of 11464096 is 69046411.

It is not an unprimeable number, because it can be changed into a prime (11464093) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13245 + ... + 14083.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 211464096 is an apocalyptic number.

11464096 is a gapful number since it is divisible by the number (16) 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 11464096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

11464096 is an abundant number, since it is smaller than the sum of its proper divisors (14784224).

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

11464096 is an equidigital number, since it uses as much as digits as its factorization.

11464096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 11464096 is about 3385.8670972145. The cubic root of 11464096 is about 225.4827232779.

The spelling of 11464096 in words is "eleven million, four hundred sixty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 839 854 976 1678 1708 1952 3356 3416 5873 6712 6832 11746 13424 13664 23492 26848 46984 51179 93968 102358 187936 204716 358253 409432 716506 818864 1433012 1637728 2866024 5732048 11464096