Search a number
-
+
14711168 = 271923263
BaseRepresentation
bin111000000111…
…100110000000
31000200101221002
4320013212000
512231224133
61243151132
7236020463
oct70074600
930611832
1014711168
11833879a
124b154a8
133081044
141d4d2da
151458ce8
hexe07980

14711168 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 6640128.

The previous prime is 14711161. The next prime is 14711173. The reversal of 14711168 is 86111741.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14711168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14711161) 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, 55805 + ... + 56067.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 214711168 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 14711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

14711168 is an abundant number, since it is smaller than the sum of its proper divisors (17602432).

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

14711168 is a wasteful number, since it uses less digits than its factorization.

14711168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its digits is 1344, while the sum is 29.

The square root of 14711168 is about 3835.5140463828. The cubic root of 14711168 is about 245.0280017974.

The spelling of 14711168 in words is "fourteen million, seven hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 263 304 368 437 526 608 736 874 1052 1216 1472 1748 2104 2432 2944 3496 4208 4997 6049 6992 8416 9994 12098 13984 16832 19988 24196 27968 33664 39976 48392 55936 79952 96784 114931 159904 193568 229862 319808 387136 459724 639616 774272 919448 1838896 3677792 7355584 14711168