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13191424 = 282272
BaseRepresentation
bin110010010100…
…100100000000
3220211012020021
4302110210000
511334111144
61150423224
7220060651
oct62244400
926735207
1013191424
11749aa04
124501b14
13296b39c
141a75528
151258884
hexc94900

13191424 has 27 divisors (see below), whose sum is σ = 26447827. Its totient is φ = 6566656.

The previous prime is 13191421. The next prime is 13191449. The reversal of 13191424 is 42419131.

It is a happy number.

The square root of 13191424 is 3632.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13191421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57999 + ... + 58225.

Almost surely, 213191424 is an apocalyptic number.

13191424 is the 3632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13191424

13191424 is an abundant number, since it is smaller than the sum of its proper divisors (13256403).

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

13191424 is an frugal number, since it uses more digits than its factorization.

13191424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 229 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The cubic root of 13191424 is about 236.2819573615.

Multiplying 13191424 by its sum of digits (25), we get a square (329785600 = 181602).

The spelling of 13191424 in words is "thirteen million, one hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 908 1816 3632 7264 14528 29056 51529 58112 103058 206116 412232 824464 1648928 3297856 6595712 13191424