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14290164 = 2232728101
BaseRepresentation
bin110110100000…
…110011110100
3222220000102100
4312200303310
512124241124
61230142100
7232315200
oct66406364
928800370
1014290164
118080459
124951930
132c64525
141c7db00
1513c41c9
hexda0cf4

14290164 has 54 divisors (see below), whose sum is σ = 42025074. Its totient is φ = 4082400.

The previous prime is 14290151. The next prime is 14290189. The reversal of 14290164 is 46109241.

14290164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 1764 = 3780^2 + 42^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2287 + ... + 5814.

Almost surely, 214290164 is an apocalyptic number.

14290164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14290164 is an abundant number, since it is smaller than the sum of its proper divisors (27734910).

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

14290164 is a wasteful number, since it uses less digits than its factorization.

14290164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14290164 is about 3780.2333261321. The cubic root of 14290164 is about 242.6679404930.

The spelling of 14290164 in words is "fourteen million, two hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 8101 16202 24303 32404 48606 56707 72909 97212 113414 145818 170121 226828 291636 340242 396949 510363 680484 793898 1020726 1190847 1587796 2041452 2381694 3572541 4763388 7145082 14290164