Search a number
-
+
12137636 = 227538179
BaseRepresentation
bin101110010011…
…010010100100
3211211122201002
4232103102210
511101401021
61112052432
7205111460
oct56232244
924748632
1012137636
116940205
124094118
13268c844
14187d4a0
1510eb50b
hexb934a4

12137636 has 24 divisors (see below), whose sum is σ = 24736320. Its totient is φ = 5103072.

The previous prime is 12137633. The next prime is 12137651. The reversal of 12137636 is 63673121.

It is a junction number, because it is equal to n+sod(n) for n = 12137599 and 12137608.

It is not an unprimeable number, because it can be changed into a prime (12137633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2606 + ... + 5573.

It is an arithmetic number, because the mean of its divisors is an integer number (1030680).

Almost surely, 212137636 is an apocalyptic number.

It is an amenable number.

12137636 is an abundant number, since it is smaller than the sum of its proper divisors (12598684).

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

12137636 is a wasteful number, since it uses less digits than its factorization.

12137636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8241 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 12137636 is about 3483.9110206778. The cubic root of 12137636 is about 229.8148225947.

It can be divided in two parts, 121 and 37636, that multiplied together give a square (4553956 = 21342).

The spelling of 12137636 in words is "twelve million, one hundred thirty-seven thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1484 8179 16358 32716 57253 114506 229012 433487 866974 1733948 3034409 6068818 12137636