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11430624 = 253119069
BaseRepresentation
bin101011100110…
…101011100000
3210111201212110
4223212223200
510411234444
61044555320
7166105302
oct53465340
923451773
1011430624
1164a7aa7
1239b2b40
1324a2aaa
141737972
15100bcb9
hexae6ae0

11430624 has 24 divisors (see below), whose sum is σ = 30005640. Its totient is φ = 3810176.

The previous prime is 11430623. The next prime is 11430637. The reversal of 11430624 is 42603411.

11430624 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11430624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11430623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59439 + ... + 59630.

It is an arithmetic number, because the mean of its divisors is an integer number (1250235).

Almost surely, 211430624 is an apocalyptic number.

It is an amenable number.

11430624 is an abundant number, since it is smaller than the sum of its proper divisors (18575016).

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

11430624 is a wasteful number, since it uses less digits than its factorization.

11430624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119082 (or 119074 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 11430624 is about 3380.9205846929. The cubic root of 11430624 is about 225.2630602228.

The spelling of 11430624 in words is "eleven million, four hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 119069 238138 357207 476276 714414 952552 1428828 1905104 2857656 3810208 5715312 11430624