Base | Representation |
---|---|
bin | 101110011000… |
… | …101111000000 |
3 | 211212210022000 |
4 | 232120233000 |
5 | 11103104221 |
6 | 1112344000 |
7 | 205233465 |
oct | 56305700 |
9 | 24783260 |
10 | 12159936 |
11 | 6955a38 |
12 | 40a5000 |
13 | 2699a39 |
14 | 188766c |
15 | 1102e26 |
hex | b98bc0 |
12159936 has 112 divisors (see below), whose sum is σ = 37063680. Its totient is φ = 3905280.
The previous prime is 12159911. The next prime is 12159941. The reversal of 12159936 is 63995121.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 12159936.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 53455 + ... + 53681.
Almost surely, 212159936 is an apocalyptic number.
12159936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12159936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531840).
12159936 is an abundant number, since it is smaller than the sum of its proper divisors (24903744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12159936 is a wasteful number, since it uses less digits than its factorization.
12159936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279 (or 263 counting only the distinct ones).
The product of its digits is 14580, while the sum is 36.
The square root of 12159936 is about 3487.1099781911. The cubic root of 12159936 is about 229.9554797257.
The spelling of 12159936 in words is "twelve million, one hundred fifty-nine thousand, nine hundred thirty-six".
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