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14163264 = 263267367
BaseRepresentation
bin110110000001…
…110101000000
3222122120100100
4312001311000
512111211024
61223322400
7231246213
oct66016500
928576310
1014163264
117aa4085
1248b0400
132c1b83b
141c4977a
15139b7c9
hexd81d40

14163264 has 84 divisors (see below), whose sum is σ = 41314624. Its totient is φ = 4637952.

The previous prime is 14163263. The next prime is 14163277. The reversal of 14163264 is 46236141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14163263) 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, 38409 + ... + 38775.

Almost surely, 214163264 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 14163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657312).

14163264 is an abundant number, since it is smaller than the sum of its proper divisors (27151360).

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

14163264 is a wasteful number, since it uses less digits than its factorization.

14163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 14163264 is about 3763.4112185622. The cubic root of 14163264 is about 241.9474876384.

The spelling of 14163264 in words is "fourteen million, one hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 367 402 536 576 603 734 804 1072 1101 1206 1468 1608 2144 2202 2412 2936 3216 3303 4288 4404 4824 5872 6432 6606 8808 9648 11744 12864 13212 17616 19296 23488 24589 26424 35232 38592 49178 52848 70464 73767 98356 105696 147534 196712 211392 221301 295068 393424 442602 590136 786848 885204 1180272 1573696 1770408 2360544 3540816 4721088 7081632 14163264