Base | Representation |
---|---|
bin | 101110101111… |
… | …001111000000 |
3 | 212001110201100 |
4 | 232233033000 |
5 | 11114031341 |
6 | 1114334400 |
7 | 206066253 |
oct | 56571700 |
9 | 25043640 |
10 | 12252096 |
11 | 6a091aa |
12 | 412a400 |
13 | 26cc97c |
14 | 18ad09a |
15 | 11203b6 |
hex | baf3c0 |
12252096 has 84 divisors (see below), whose sum is σ = 35661600. Its totient is φ = 4021248.
The previous prime is 12252091. The next prime is 12252103. The reversal of 12252096 is 69025221.
It is a super-2 number, since 2×122520962 = 300227712786432, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12252091) 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 11 ways as a sum of consecutive naturals, for example, 51145 + ... + 51383.
Almost surely, 212252096 is an apocalyptic number.
12252096 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 12252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830800).
12252096 is an abundant number, since it is smaller than the sum of its proper divisors (23409504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12252096 is a wasteful number, since it uses less digits than its factorization.
12252096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 346 (or 333 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 12252096 is about 3500.2994157643. The cubic root of 12252096 is about 230.5349614374.
It can be divided in two parts, 1225 and 2096, that added together give a triangular number (3321 = T81).
The spelling of 12252096 in words is "twelve million, two hundred fifty-two thousand, ninety-six".
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