Search a number
-
+
14690016 = 2532114637
BaseRepresentation
bin111000000010…
…011011100000
31000122022220200
4320002123200
512230040031
61242505200
7235602015
oct70023340
930568820
1014690016
118323910
124b05200
133074523
141d4570c
1514528e6
hexe026e0

14690016 has 72 divisors (see below), whose sum is σ = 45582264. Its totient is φ = 4450560.

The previous prime is 14689973. The next prime is 14690017. The reversal of 14690016 is 61009641.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14690017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850 + ... + 5486.

It is an arithmetic number, because the mean of its divisors is an integer number (633087).

Almost surely, 214690016 is an apocalyptic number.

14690016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22791132).

14690016 is an abundant number, since it is smaller than the sum of its proper divisors (30892248).

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

14690016 is a wasteful number, since it uses less digits than its factorization.

14690016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 14690016 is about 3832.7556666190. The cubic root of 14690016 is about 244.9105101459.

Adding to 14690016 its reverse (61009641), we get a palindrome (75699657).

The spelling of 14690016 in words is "fourteen million, six hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 4637 9274 13911 18548 27822 37096 41733 51007 55644 74192 83466 102014 111288 148384 153021 166932 204028 222576 306042 333864 408056 445152 459063 612084 667728 816112 918126 1224168 1335456 1632224 1836252 2448336 3672504 4896672 7345008 14690016