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11424688 = 2411139467
BaseRepresentation
bin101011100101…
…001110110000
3210111102201121
4223211032300
510411042223
61044512024
7166052062
oct53451660
923442647
1011424688
1164a35a0
1239ab614
1324a0192
141735732
15100a15d
hexae53b0

11424688 has 40 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 5144640.

The previous prime is 11424661. The next prime is 11424703. The reversal of 11424688 is 88642411.

11424688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 24231 + ... + 24697.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 211424688 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 11424688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

11424688 is an abundant number, since it is smaller than the sum of its proper divisors (12948752).

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

11424688 is a wasteful number, since it uses less digits than its factorization.

11424688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 11424688 is about 3380.0426032818. The cubic root of 11424688 is about 225.2240599297.

The spelling of 11424688 in words is "eleven million, four hundred twenty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 467 556 934 1112 1529 1868 2224 3058 3736 5137 6116 7472 10274 12232 20548 24464 41096 64913 82192 129826 259652 519304 714043 1038608 1428086 2856172 5712344 11424688