Search a number
-
+
12973608 = 233420021
BaseRepresentation
bin110001011111…
…011000101000
3220102010110000
4301133120220
511310123413
61142023000
7215162634
oct61373050
926363400
1012973608
11736129a
124417a60
1328c31bb
141a19dc4
151214073
hexc5f628

12973608 has 40 divisors (see below), whose sum is σ = 36339930. Its totient is φ = 4324320.

The previous prime is 12973607. The next prime is 12973613. The reversal of 12973608 is 80637921.

12973608 is a `hidden beast` number, since 1 + 297 + 360 + 8 = 666.

12973608 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12830724 + 142884 = 3582^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12973603) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9363 + ... + 10658.

Almost surely, 212973608 is an apocalyptic number.

12973608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12973608 is an abundant number, since it is smaller than the sum of its proper divisors (23366322).

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

12973608 is a wasteful number, since it uses less digits than its factorization.

12973608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20039 (or 20026 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12973608 is about 3601.8895041353. The cubic root of 12973608 is about 234.9742419331.

It can be divided in two parts, 129 and 73608, that added together give a palindrome (73737).

The spelling of 12973608 in words is "twelve million, nine hundred seventy-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 20021 40042 60063 80084 120126 160168 180189 240252 360378 480504 540567 720756 1081134 1441512 1621701 2162268 3243402 4324536 6486804 12973608