Search a number
-
+
12983037 = 316132683
BaseRepresentation
bin110001100001…
…101011111101
3220102121101020
4301201223331
511310424122
61142134353
7215232264
oct61415375
926377336
1012983037
117368391
1244213b9
1328c7592
141a1d5db
151216c5c
hexc61afd

12983037 has 8 divisors (see below), whose sum is σ = 17327904. Its totient is φ = 8646768.

The previous prime is 12982999. The next prime is 12983051. The reversal of 12983037 is 73038921.

12983037 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12983037 - 26 = 12982973 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 12982989 and 12983007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3498 + ... + 6180.

It is an arithmetic number, because the mean of its divisors is an integer number (2165988).

Almost surely, 212983037 is an apocalyptic number.

It is an amenable number.

12983037 is a deficient number, since it is larger than the sum of its proper divisors (4344867).

12983037 is a wasteful number, since it uses less digits than its factorization.

12983037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 12983037 is about 3603.1981627438. The cubic root of 12983037 is about 235.0311532564.

The spelling of 12983037 in words is "twelve million, nine hundred eighty-three thousand, thirty-seven".

Divisors: 1 3 1613 2683 4839 8049 4327679 12983037