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14460468 = 22311223433
BaseRepresentation
bin110111001010…
…011000110100
31000012200000220
4313022120310
512200213333
61233534340
7233624541
oct67123064
930180026
1014460468
118187400
124a143b0
132cc3bb9
141cc5bc8
1514098b3
hexdca634

14460468 has 72 divisors (see below), whose sum is σ = 38789184. Its totient is φ = 4181760.

The previous prime is 14460449. The next prime is 14460493. The reversal of 14460468 is 86406441.

14460468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33180 + ... + 33612.

Almost surely, 214460468 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 14460468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394592).

14460468 is an abundant number, since it is smaller than the sum of its proper divisors (24328716).

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

14460468 is a wasteful number, since it uses less digits than its factorization.

14460468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 14460468 is about 3802.6922042153. The cubic root of 14460468 is about 243.6281400081.

The spelling of 14460468 in words is "fourteen million, four hundred sixty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 433 484 506 726 759 866 1012 1299 1452 1518 1732 2598 2783 3036 4763 5196 5566 8349 9526 9959 11132 14289 16698 19052 19918 28578 29877 33396 39836 52393 57156 59754 104786 109549 119508 157179 209572 219098 314358 328647 438196 628716 657294 1205039 1314588 2410078 3615117 4820156 7230234 14460468