Search a number
-
+
14199168 = 273103359
BaseRepresentation
bin110110001010…
…100110000000
3222201101121010
4312022212000
512113333133
61224200520
7231455664
oct66124600
928641533
1014199168
118019055
124909140
132c31c99
141c588a4
1513a7263
hexd8a980

14199168 has 64 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 4674048.

The previous prime is 14199167. The next prime is 14199173. The reversal of 14199168 is 86199141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14199167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39373 + ... + 39731.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 214199168 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 14199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

14199168 is an abundant number, since it is smaller than the sum of its proper divisors (23989632).

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

14199168 is a wasteful number, since it uses less digits than its factorization.

14199168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 14199168 is about 3768.1783397286. The cubic root of 14199168 is about 242.1517614667.

The spelling of 14199168 in words is "fourteen million, one hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 359 384 412 618 718 824 1077 1236 1436 1648 2154 2472 2872 3296 4308 4944 5744 6592 8616 9888 11488 13184 17232 19776 22976 34464 36977 39552 45952 68928 73954 110931 137856 147908 221862 295816 443724 591632 887448 1183264 1774896 2366528 3549792 4733056 7099584 14199168