Search a number
-
+
14058264 = 23311247103
BaseRepresentation
bin110101101000…
…001100011000
3222110020022110
4311220030120
512044331024
61221152320
7230331123
oct65501430
928406273
1014058264
117a32200
12485b6a0
132bb2acc
141c1d3ba
15137a629
hexd68318

14058264 has 96 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 4128960.

The previous prime is 14058263. The next prime is 14058277. The reversal of 14058264 is 46285041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14058263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136437 + ... + 136539.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 214058264 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 14058264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

14058264 is an abundant number, since it is smaller than the sum of its proper divisors (25777896).

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

14058264 is a wasteful number, since it uses less digits than its factorization.

14058264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 14058264 is about 3749.4351574604. The cubic root of 14058264 is about 241.3481077884.

It can be divided in two parts, 1405 and 8264, that added together give a palindrome (9669).

The spelling of 14058264 in words is "fourteen million, fifty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 103 121 132 141 188 206 242 264 282 309 363 376 412 484 517 564 618 726 824 968 1034 1128 1133 1236 1452 1551 2068 2266 2472 2904 3102 3399 4136 4532 4841 5687 6204 6798 9064 9682 11374 12408 12463 13596 14523 17061 19364 22748 24926 27192 29046 34122 37389 38728 45496 49852 53251 58092 68244 74778 99704 106502 116184 136488 149556 159753 213004 299112 319506 426008 585761 639012 1171522 1278024 1757283 2343044 3514566 4686088 7029132 14058264