Search a number
-
+
12157717 = 1121359131
BaseRepresentation
bin101110011000…
…001100010101
3211212200020211
4232120030111
511103021332
61112325421
7205224145
oct56301425
924780224
1012157717
116954300
1240a3871
132698a20
141886925
151102447
hexb98315

12157717 has 24 divisors (see below), whose sum is σ = 14747040. Its totient is φ = 9952800.

The previous prime is 12157711. The next prime is 12157721. The reversal of 12157717 is 71775121.

It is not a de Polignac number, because 12157717 - 223 = 3769109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157711) 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 23 ways as a sum of consecutive naturals, for example, 92742 + ... + 92872.

It is an arithmetic number, because the mean of its divisors is an integer number (614460).

Almost surely, 212157717 is an apocalyptic number.

It is an amenable number.

12157717 is a deficient number, since it is larger than the sum of its proper divisors (2589323).

12157717 is a wasteful number, since it uses less digits than its factorization.

12157717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its digits is 3430, while the sum is 31.

The square root of 12157717 is about 3486.7917918912. The cubic root of 12157717 is about 229.9414911035.

The spelling of 12157717 in words is "twelve million, one hundred fifty-seven thousand, seven hundred seventeen".

Divisors: 1 11 13 59 121 131 143 649 767 1441 1573 1703 7139 7729 8437 15851 18733 85019 92807 100477 206063 935209 1105247 12157717