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12540165 = 351176001
BaseRepresentation
bin101111110101…
…100100000101
3212121002212120
4233311210011
511202241130
61124440153
7211406151
oct57654405
925532776
1012540165
117095680
124249059
1327a0b21
141946061
15117a910
hexbf5905

12540165 has 16 divisors (see below), whose sum is σ = 21888576. Its totient is φ = 6080000.

The previous prime is 12540149. The next prime is 12540167. The reversal of 12540165 is 56104521.

It is not a de Polignac number, because 12540165 - 24 = 12540149 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12540167) 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 15 ways as a sum of consecutive naturals, for example, 37836 + ... + 38165.

It is an arithmetic number, because the mean of its divisors is an integer number (1368036).

Almost surely, 212540165 is an apocalyptic number.

12540165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12540165 is a deficient number, since it is larger than the sum of its proper divisors (9348411).

12540165 is a wasteful number, since it uses less digits than its factorization.

12540165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76020.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 12540165 is about 3541.2095391264. The cubic root of 12540165 is about 232.3277484711.

Adding to 12540165 its reverse (56104521), we get a palindrome (68644686).

The spelling of 12540165 in words is "twelve million, five hundred forty thousand, one hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 76001 228003 380005 836011 1140015 2508033 4180055 12540165