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12164137 = 291014153
BaseRepresentation
bin101110011001…
…110000101001
3211220000001121
4232121300221
511103223022
61112415241
7205251646
oct56316051
924800047
1012164137
116959107
1240a7521
13269b91b
141888dcd
1511042c7
hexb99c29

12164137 has 8 divisors (see below), whose sum is σ = 12711240. Its totient is φ = 11625600.

The previous prime is 12164101. The next prime is 12164147. The reversal of 12164137 is 73146121.

12164137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1510441 + 10653696 = 1229^2 + 3264^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12164137 - 215 = 12131369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12164147) 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, 853 + ... + 5005.

It is an arithmetic number, because the mean of its divisors is an integer number (1588905).

Almost surely, 212164137 is an apocalyptic number.

It is an amenable number.

12164137 is a deficient number, since it is larger than the sum of its proper divisors (547103).

12164137 is a wasteful number, since it uses less digits than its factorization.

12164137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283.

The product of its digits is 1008, while the sum is 25.

The square root of 12164137 is about 3487.7122874457. The cubic root of 12164137 is about 229.9819582571.

The spelling of 12164137 in words is "twelve million, one hundred sixty-four thousand, one hundred thirty-seven".

Divisors: 1 29 101 2929 4153 120437 419453 12164137