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14268672 = 283211563
BaseRepresentation
bin110110011011…
…100100000000
3222211220221100
4312123210000
512123044142
61225454400
7232165425
oct66334400
928756840
1014268672
1180662a0
124941400
132c57802
141c75d4c
1513bcb4c
hexd9b900

14268672 has 108 divisors (see below), whose sum is σ = 44959824. Its totient is φ = 4316160.

The previous prime is 14268659. The next prime is 14268673. The reversal of 14268672 is 27686241.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14268673) 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, 25063 + ... + 25625.

Almost surely, 214268672 is an apocalyptic number.

14268672 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 14268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22479912).

14268672 is an abundant number, since it is smaller than the sum of its proper divisors (30691152).

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

14268672 is a wasteful number, since it uses less digits than its factorization.

14268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 14268672 is about 3777.3895748255. The cubic root of 14268672 is about 242.5462242277.

Subtracting 14268672 from its reverse (27686241), we obtain a square (13417569 = 36632).

The spelling of 14268672 in words is "fourteen million, two hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 563 576 704 768 792 1056 1126 1152 1408 1584 1689 2112 2252 2304 2816 3168 3378 4224 4504 5067 6193 6336 6756 8448 9008 10134 12386 12672 13512 18016 18579 20268 24772 25344 27024 36032 37158 40536 49544 54048 55737 72064 74316 81072 99088 108096 111474 144128 148632 162144 198176 216192 222948 297264 324288 396352 432384 445896 594528 648576 792704 891792 1189056 1297152 1585408 1783584 2378112 3567168 4756224 7134336 14268672