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13921728 = 263312339
BaseRepresentation
bin110101000110…
…110111000000
3222012022000120
4311012313000
512030443403
61214220240
7226222062
oct65066700
928168016
1013921728
117949667
1247b4680
132b65912
141bc5732
15134ee53
hexd46dc0

13921728 has 56 divisors (see below), whose sum is σ = 38039040. Its totient is φ = 4488960.

The previous prime is 13921727. The next prime is 13921771. The reversal of 13921728 is 82712931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13921727) 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 7 ways as a sum of consecutive naturals, for example, 4783 + ... + 7121.

Almost surely, 213921728 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 13921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

13921728 is an abundant number, since it is smaller than the sum of its proper divisors (24117312).

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

13921728 is a wasteful number, since it uses less digits than its factorization.

13921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2375 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 13921728 is about 3731.1831903566. The cubic root of 13921728 is about 240.5642280440.

The spelling of 13921728 in words is "thirteen million, nine hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2339 2976 4678 5952 7017 9356 14034 18712 28068 37424 56136 72509 74848 112272 145018 149696 217527 224544 290036 435054 449088 580072 870108 1160144 1740216 2320288 3480432 4640576 6960864 13921728