Base | Representation |
---|---|
bin | 101110010000… |
… | …001100010000 |
3 | 211211000022000 |
4 | 232100030100 |
5 | 11100444234 |
6 | 1111514000 |
7 | 205026456 |
oct | 56201420 |
9 | 24730260 |
10 | 12124944 |
11 | 6931717 |
12 | 4088900 |
13 | 2686b30 |
14 | 18789d6 |
15 | 10e7899 |
hex | b90310 |
12124944 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3483648.
The previous prime is 12124943. The next prime is 12124991. The reversal of 12124944 is 44942121.
It is a happy number.
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 Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (12124943) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95409 + ... + 95535.
It is an arithmetic number, because the mean of its divisors is an integer number (249984).
Almost surely, 212124944 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12124944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).
12124944 is an abundant number, since it is smaller than the sum of its proper divisors (27872496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12124944 is a wasteful number, since it uses less digits than its factorization.
12124944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 174 (or 162 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 12124944 is about 3482.0890281554. The cubic root of 12124944 is about 229.7346909284.
The spelling of 12124944 in words is "twelve million, one hundred twenty-four thousand, nine hundred forty-four".
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