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14276064 = 2531121229
BaseRepresentation
bin110110011101…
…010111100000
3222212022002010
4312131113200
512123313224
61225552520
7232226115
oct66352740
928768063
1014276064
118070900
124945740
132c5ac9a
141c7890c
1513bee29
hexd9d5e0

14276064 has 72 divisors (see below), whose sum is σ = 41224680. Its totient is φ = 4322560.

The previous prime is 14276051. The next prime is 14276069. The reversal of 14276064 is 46067241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14276069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11002 + ... + 12230.

It is an arithmetic number, because the mean of its divisors is an integer number (572565).

Almost surely, 214276064 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 14276064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612340).

14276064 is an abundant number, since it is smaller than the sum of its proper divisors (26948616).

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

14276064 is a wasteful number, since it uses less digits than its factorization.

14276064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 14276064 is about 3778.3679016210. The cubic root of 14276064 is about 242.5881013360.

The spelling of 14276064 in words is "fourteen million, two hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1229 1452 1936 2458 2904 3687 3872 4916 5808 7374 9832 11616 13519 14748 19664 27038 29496 39328 40557 54076 58992 81114 108152 117984 148709 162228 216304 297418 324456 432608 446127 594836 648912 892254 1189672 1297824 1784508 2379344 3569016 4758688 7138032 14276064