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13144392 = 2332182561
BaseRepresentation
bin110010001001…
…000101001000
3220201210201100
4302021011020
511331110032
61145421400
7216503562
oct62110510
926653640
1013144392
117468638
12449a860
132952b61
141a62332
15124997c
hexc89148

13144392 has 24 divisors (see below), whose sum is σ = 35599590. Its totient is φ = 4381440.

The previous prime is 13144343. The next prime is 13144393. The reversal of 13144392 is 29344131.

13144392 is a `hidden beast` number, since 131 + 443 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7918596 + 5225796 = 2814^2 + 2286^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (13144393) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91209 + ... + 91352.

Almost surely, 213144392 is an apocalyptic number.

13144392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13144392 is an abundant number, since it is smaller than the sum of its proper divisors (22455198).

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

13144392 is a wasteful number, since it uses less digits than its factorization.

13144392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182573 (or 182566 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13144392 is about 3625.5195489750. The cubic root of 13144392 is about 236.0008139395. Note that the first 3 decimals are identical.

The spelling of 13144392 in words is "thirteen million, one hundred forty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 182561 365122 547683 730244 1095366 1460488 1643049 2190732 3286098 4381464 6572196 13144392