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13928112 = 243411977
BaseRepresentation
bin110101001000…
…011010110000
3222012121210000
4311020122300
512031144422
61214310000
7226246512
oct65103260
928177700
1013928112
117953440
1247b8300
132b687b3
141bc7bb2
151351cac
hexd486b0

13928112 has 100 divisors (see below), whose sum is σ = 44021736. Its totient is φ = 4216320.

The previous prime is 13928111. The next prime is 13928143. The reversal of 13928112 is 21182931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13928111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13768 + ... + 14744.

Almost surely, 213928112 is an apocalyptic number.

13928112 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 13928112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010868).

13928112 is an abundant number, since it is smaller than the sum of its proper divisors (30093624).

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

13928112 is a wasteful number, since it uses less digits than its factorization.

13928112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 993 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 13928112 is about 3732.0385850095. The cubic root of 13928112 is about 240.6009937708.

The spelling of 13928112 in words is "thirteen million, nine hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 977 1188 1296 1584 1782 1954 2376 2931 3564 3908 4752 5862 7128 7816 8793 10747 11724 14256 15632 17586 21494 23448 26379 32241 35172 42988 46896 52758 64482 70344 79137 85976 96723 105516 128964 140688 158274 171952 193446 211032 257928 290169 316548 386892 422064 515856 580338 633096 773784 870507 1160676 1266192 1547568 1741014 2321352 3482028 4642704 6964056 13928112