Search a number
-
+
13909728 = 253722957
BaseRepresentation
bin110101000011…
…111011100000
3222011200120010
4311003323200
512030102403
61214044520
7226142100
oct65037340
928150503
1013909728
117940648
1247a9740
132b60311
141bc1200
15134b603
hexd43ee0

13909728 has 72 divisors (see below), whose sum is σ = 42488712. Its totient is φ = 3972864.

The previous prime is 13909717. The next prime is 13909741. The reversal of 13909728 is 82790931.

13909728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3226 + ... + 6182.

It is an arithmetic number, because the mean of its divisors is an integer number (590121).

Almost surely, 213909728 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 13909728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244356).

13909728 is an abundant number, since it is smaller than the sum of its proper divisors (28578984).

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

13909728 is a wasteful number, since it uses less digits than its factorization.

13909728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 13909728 is about 3729.5747746895. The cubic root of 13909728 is about 240.4950891038.

The spelling of 13909728 in words is "thirteen million, nine hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2957 4704 5914 8871 11828 17742 20699 23656 35484 41398 47312 62097 70968 82796 94624 124194 141936 144893 165592 248388 283872 289786 331184 434679 496776 579572 662368 869358 993552 1159144 1738716 1987104 2318288 3477432 4636576 6954864 13909728