Base | Representation |
---|---|
bin | 101111101101… |
… | …101010000000 |
3 | 212112110102222 |
4 | 233231222000 |
5 | 11200222101 |
6 | 1124030212 |
7 | 211212551 |
oct | 57555200 |
9 | 25473388 |
10 | 12507776 |
11 | 7073306 |
12 | 4232368 |
13 | 278c168 |
14 | 1938328 |
15 | 117101b |
hex | beda80 |
12507776 has 64 divisors (see below), whose sum is σ = 27132000. Its totient is φ = 5723136.
The previous prime is 12507773. The next prime is 12507821. The reversal of 12507776 is 67770521.
12507776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (12507773) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89915 + ... + 90053.
Almost surely, 212507776 is an apocalyptic number.
12507776 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 12507776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566000).
12507776 is an abundant number, since it is smaller than the sum of its proper divisors (14624224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12507776 is a wasteful number, since it uses less digits than its factorization.
12507776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 209 (or 197 counting only the distinct ones).
The product of its (nonzero) digits is 20580, while the sum is 35.
The square root of 12507776 is about 3536.6334274278. The cubic root of 12507776 is about 232.1275556981.
The spelling of 12507776 in words is "twelve million, five hundred seven thousand, seven hundred seventy-six".
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