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13734272 = 27611759
BaseRepresentation
bin110100011001…
…000110000000
3221211202212202
4310121012000
512003444042
61210212332
7224511416
oct64310600
927752782
1013734272
117830842
1247240a8
132acb4b6
141b772b6
151314632
hexd19180

13734272 has 32 divisors (see below), whose sum is σ = 27825600. Its totient is φ = 6750720.

The previous prime is 13734223. The next prime is 13734307. The reversal of 13734272 is 27243731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6929 + ... + 8687.

It is an arithmetic number, because the mean of its divisors is an integer number (869550).

Almost surely, 213734272 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 13734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912800).

13734272 is an abundant number, since it is smaller than the sum of its proper divisors (14091328).

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

13734272 is an equidigital number, since it uses as much as digits as its factorization.

13734272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1822 counting only the distinct ones).

The product of its digits is 7056, while the sum is 29.

The square root of 13734272 is about 3705.9778736522. The cubic root of 13734272 is about 239.4796132129.

The spelling of 13734272 in words is "thirteen million, seven hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1759 1952 3518 3904 7036 7808 14072 28144 56288 107299 112576 214598 225152 429196 858392 1716784 3433568 6867136 13734272