Search a number
-
+
14122656 = 253249037
BaseRepresentation
bin110101110111…
…111010100000
3222120111122100
4311313322200
512103411111
61222410400
7231016632
oct65677240
928514570
1014122656
117a76619
124890a00
132c06202
141c38a52
15138e756
hexd77ea0

14122656 has 36 divisors (see below), whose sum is σ = 40162122. Its totient is φ = 4707456.

The previous prime is 14122651. The next prime is 14122657. The reversal of 14122656 is 65622141.

14122656 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 2 + 656 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 6170256 = 2820^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (14122651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24231 + ... + 24806.

Almost surely, 214122656 is an apocalyptic number.

14122656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14122656 is an abundant number, since it is smaller than the sum of its proper divisors (26039466).

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

14122656 is a wasteful number, since it uses less digits than its factorization.

14122656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49053 (or 49042 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 14122656 is about 3758.0122405336. The cubic root of 14122656 is about 241.7160342004.

Adding to 14122656 its reverse (65622141), we get a palindrome (79744797).

The spelling of 14122656 in words is "fourteen million, one hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49037 98074 147111 196148 294222 392296 441333 588444 784592 882666 1176888 1569184 1765332 2353776 3530664 4707552 7061328 14122656