Base | Representation |
---|---|
bin | 101110101111… |
… | …001101110000 |
3 | 212001110121101 |
4 | 232233031300 |
5 | 11114031031 |
6 | 1114334144 |
7 | 206066110 |
oct | 56571560 |
9 | 25043541 |
10 | 12252016 |
11 | 6a09137 |
12 | 412a354 |
13 | 26cc91a |
14 | 18ad040 |
15 | 1120361 |
hex | baf370 |
12252016 has 40 divisors (see below), whose sum is σ = 27359360. Its totient is φ = 5206464.
The previous prime is 12251983. The next prime is 12252029. The reversal of 12252016 is 61025221.
It is a super-2 number, since 2×122520162 = 300223792128512, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12251984 and 12252002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15175 + ... + 15961.
It is an arithmetic number, because the mean of its divisors is an integer number (683984).
Almost surely, 212252016 is an apocalyptic number.
12252016 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 12252016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679680).
12252016 is an abundant number, since it is smaller than the sum of its proper divisors (15107344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12252016 is a wasteful number, since it uses less digits than its factorization.
12252016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 941 (or 935 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
The square root of 12252016 is about 3500.2879881518. The cubic root of 12252016 is about 230.5344596774.
Adding to 12252016 its reverse (61025221), we get a palindrome (73277237).
The spelling of 12252016 in words is "twelve million, two hundred fifty-two thousand, sixteen".
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