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13927392 = 2532371307
BaseRepresentation
bin110101001000…
…001111100000
3222012120210100
4311020033200
512031134032
61214302400
7226244433
oct65101740
928176710
1013927392
117952946
1247b7a00
132b6837b
141bc781a
15135197c
hexd483e0

13927392 has 72 divisors (see below), whose sum is σ = 40707576. Its totient is φ = 4513536.

The previous prime is 13927391. The next prime is 13927409. The reversal of 13927392 is 29372931.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13927391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10003 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (565383).

Almost surely, 213927392 is an apocalyptic number.

13927392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13927392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353788).

13927392 is an abundant number, since it is smaller than the sum of its proper divisors (26780184).

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

13927392 is a wasteful number, since it uses less digits than its factorization.

13927392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1349 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 13927392 is about 3731.9421217377. The cubic root of 13927392 is about 240.5968478224.

The spelling of 13927392 in words is "thirteen million, nine hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1307 1332 1776 2614 2664 3552 3921 5228 5328 7842 10456 10656 11763 15684 20912 23526 31368 41824 47052 48359 62736 94104 96718 125472 145077 188208 193436 290154 376416 386872 435231 580308 773744 870462 1160616 1547488 1740924 2321232 3481848 4642464 6963696 13927392