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12151957 = 17291572
BaseRepresentation
bin101110010110…
…110010010101
3211212101100111
4232112302111
511102330312
61112243021
7205201306
oct56266225
924771314
1012151957
11694aa44
1240a0471
13269620c
1418847ad
1511008a7
hexb96c95

12151957 has 12 divisors (see below), whose sum is σ = 13395780. Its totient is φ = 10972416.

The previous prime is 12151927. The next prime is 12151961. The reversal of 12151957 is 75915121.

It can be written as a sum of positive squares in 6 ways, for example, as 34596 + 12117361 = 186^2 + 3481^2 .

It is a de Polignac number, because none of the positive numbers 2k-12151957 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 (12151927) 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 11 ways as a sum of consecutive naturals, for example, 77323 + ... + 77479.

It is an arithmetic number, because the mean of its divisors is an integer number (1116315).

Almost surely, 212151957 is an apocalyptic number.

12151957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12151957 is a deficient number, since it is larger than the sum of its proper divisors (1243823).

12151957 is an equidigital number, since it uses as much as digits as its factorization.

12151957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 203 counting only the distinct ones).

The product of its digits is 3150, while the sum is 31.

The square root of 12151957 is about 3485.9657198544. The cubic root of 12151957 is about 229.9051719983.

The spelling of 12151957 in words is "twelve million, one hundred fifty-one thousand, nine hundred fifty-seven".

Divisors: 1 17 29 157 493 2669 4553 24649 77401 419033 714821 12151957