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12083957 = 17241813
BaseRepresentation
bin101110000110…
…001011110101
3211201221001222
4232012023311
511043141312
61111000125
7204466124
oct56061365
924657058
1012083957
116903946
124069045
132671292
141867abb
1510da672
hexb862f5

12083957 has 6 divisors (see below), whose sum is σ = 12836898. Its totient is φ = 11372864.

The previous prime is 12083927. The next prime is 12083959. The reversal of 12083957 is 75938021.

It can be written as a sum of positive squares in 3 ways, for example, as 2436721 + 9647236 = 1561^2 + 3106^2 .

It is a de Polignac number, because none of the positive numbers 2k-12083957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12083959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20618 + ... + 21195.

It is an arithmetic number, because the mean of its divisors is an integer number (2139483).

Almost surely, 212083957 is an apocalyptic number.

12083957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12083957 is a deficient number, since it is larger than the sum of its proper divisors (752941).

12083957 is an equidigital number, since it uses as much as digits as its factorization.

12083957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41847 (or 41830 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 12083957 is about 3476.1986421952. The cubic root of 12083957 is about 229.4755346577.

The spelling of 12083957 in words is "twelve million, eighty-three thousand, nine hundred fifty-seven".

Divisors: 1 17 289 41813 710821 12083957