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12284688 = 2431319687
BaseRepresentation
bin101110110111…
…001100010000
3212010010102110
4232313030100
511121102223
61115145320
7206263263
oct56671420
925103373
1012284688
116a30739
124145240
132711760
1418bacda
151129d93
hexbb7310

12284688 has 40 divisors (see below), whose sum is σ = 34178368. Its totient is φ = 3779712.

The previous prime is 12284683. The next prime is 12284689. The reversal of 12284688 is 88648221.

12284688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12284683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9220 + ... + 10467.

Almost surely, 212284688 is an apocalyptic number.

It is an amenable number.

12284688 is an abundant number, since it is smaller than the sum of its proper divisors (21893680).

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

12284688 is a wasteful number, since it uses less digits than its factorization.

12284688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19711 (or 19705 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12284688 is about 3504.9519254906. The cubic root of 12284688 is about 230.7391970487.

The spelling of 12284688 in words is "twelve million, two hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 19687 39374 59061 78748 118122 157496 236244 255931 314992 472488 511862 767793 944976 1023724 1535586 2047448 3071172 4094896 6142344 12284688