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13293288 = 233361543
BaseRepresentation
bin110010101101…
…011011101000
3221000100222000
4302231123220
511400341123
61152531000
7220663641
oct62553350
927010860
1013293288
11755a498
124550a60
1329a5868
141aa06c8
151278b43
hexcad6e8

13293288 has 32 divisors (see below), whose sum is σ = 36926400. Its totient is φ = 4431024.

The previous prime is 13293271. The next prime is 13293289. The reversal of 13293288 is 88239231.

It is a happy number.

13293288 is a `hidden beast` number, since 1 + 329 + 328 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (13293289) 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, 30556 + ... + 30987.

It is an arithmetic number, because the mean of its divisors is an integer number (1153950).

Almost surely, 213293288 is an apocalyptic number.

13293288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13293288 is an abundant number, since it is smaller than the sum of its proper divisors (23633112).

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

13293288 is a wasteful number, since it uses less digits than its factorization.

13293288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61558 (or 61548 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13293288 is about 3645.9961601735. The cubic root of 13293288 is about 236.8885872746. Note that the first 3 decimals are identical.

The spelling of 13293288 in words is "thirteen million, two hundred ninety-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 61543 123086 184629 246172 369258 492344 553887 738516 1107774 1477032 1661661 2215548 3323322 4431096 6646644 13293288