Search a number
-
+
12106872 = 2332168151
BaseRepresentation
bin101110001011…
…110001111000
3211210002111200
4232023301320
511044404442
61111254200
7204623001
oct56136170
924702450
1012106872
11691a088
12407a360
13267b83b
1418721a8
1510e234c
hexb8bc78

12106872 has 24 divisors (see below), whose sum is σ = 32789640. Its totient is φ = 4035600.

The previous prime is 12106867. The next prime is 12106877. The reversal of 12106872 is 27860121.

It is an interprime number because it is at equal distance from previous prime (12106867) and next prime (12106877).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106877) 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, 84004 + ... + 84147.

It is an arithmetic number, because the mean of its divisors is an integer number (1366235).

Almost surely, 212106872 is an apocalyptic number.

12106872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12106872 is an abundant number, since it is smaller than the sum of its proper divisors (20682768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12106872 is a wasteful number, since it uses less digits than its factorization.

12106872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168163 (or 168156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12106872 is about 3479.4930665256. The cubic root of 12106872 is about 229.6204957686.

Adding to 12106872 its reverse (27860121), we get a palindrome (39966993).

The spelling of 12106872 in words is "twelve million, one hundred six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 168151 336302 504453 672604 1008906 1345208 1513359 2017812 3026718 4035624 6053436 12106872