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13926144 = 28318133
BaseRepresentation
bin110101000111…
…111100000000
3222012112002010
4311013330000
512031114034
61214252520
7226241001
oct65077400
928175063
1013926144
117951a11
1247b7140
132b6792b
141bc71a8
1513513e9
hexd47f00

13926144 has 36 divisors (see below), whose sum is σ = 37065896. Its totient is φ = 4641792.

The previous prime is 13926139. The next prime is 13926149. The reversal of 13926144 is 44162931.

It is an interprime number because it is at equal distance from previous prime (13926139) and next prime (13926149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13926149) 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, 8299 + ... + 9834.

Almost surely, 213926144 is an apocalyptic number.

It is an amenable number.

13926144 is an abundant number, since it is smaller than the sum of its proper divisors (23139752).

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

13926144 is an equidigital number, since it uses as much as digits as its factorization.

13926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18152 (or 18138 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13926144 is about 3731.7749128263. The cubic root of 13926144 is about 240.5896611734.

The spelling of 13926144 in words is "thirteen million, nine hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 18133 36266 54399 72532 108798 145064 217596 290128 435192 580256 870384 1160512 1740768 2321024 3481536 4642048 6963072 13926144