Search a number
-
+
12623117 = 132113661
BaseRepresentation
bin110000001001…
…110100001101
3212202022122212
4300021310031
511212414432
61130320205
7212203043
oct60116415
925668585
1012623117
117141a31
124289065
1327cc800
141968393
1511952b2
hexc09d0d

12623117 has 12 divisors (see below), whose sum is σ = 13810644. Its totient is φ = 11531520.

The previous prime is 12623089. The next prime is 12623189. The reversal of 12623117 is 71132621.

It can be written as a sum of positive squares in 6 ways, for example, as 3556996 + 9066121 = 1886^2 + 3011^2 .

It is not a de Polignac number, because 12623117 - 26 = 12623053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12623092 and 12623101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12623717) 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, 18767 + ... + 19427.

It is an arithmetic number, because the mean of its divisors is an integer number (1150887).

Almost surely, 212623117 is an apocalyptic number.

It is an amenable number.

12623117 is a deficient number, since it is larger than the sum of its proper divisors (1187527).

12623117 is a wasteful number, since it uses less digits than its factorization.

12623117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 787 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 12623117 is about 3552.9026161717. The cubic root of 12623117 is about 232.8388983804.

Adding to 12623117 its reverse (71132621), we get a palindrome (83755738).

The spelling of 12623117 in words is "twelve million, six hundred twenty-three thousand, one hundred seventeen".

Divisors: 1 13 113 169 661 1469 8593 19097 74693 111709 971009 12623117