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13823744 = 28114909
BaseRepresentation
bin110100101110…
…111100000000
3222000022121112
4310232330000
512014324434
61212142452
7225333314
oct64567400
928008545
1013823744
117891a90
124767a28
132b3013c
141b9bb44
151330dce
hexd2ef00

13823744 has 36 divisors (see below), whose sum is σ = 30108120. Its totient is φ = 6282240.

The previous prime is 13823743. The next prime is 13823767. The reversal of 13823744 is 44732831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13823744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362 + ... + 5270.

Almost surely, 213823744 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 13823744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054060).

13823744 is an abundant number, since it is smaller than the sum of its proper divisors (16284376).

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

13823744 is an equidigital number, since it uses as much as digits as its factorization.

13823744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4922 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 13823744 is about 3718.0295856811. The cubic root of 13823744 is about 239.9985185094.

The spelling of 13823744 in words is "thirteen million, eight hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 4909 9818 19636 39272 53999 78544 107998 157088 215996 314176 431992 628352 863984 1256704 1727968 3455936 6911872 13823744