Base | Representation |
---|---|
bin | 101000100010… |
… | …011110010110 |
3 | 201222220110100 |
4 | 220202132112 |
5 | 10210030331 |
6 | 1015434530 |
7 | 156220260 |
oct | 50423626 |
9 | 21886410 |
10 | 10626966 |
11 | 5aa9219 |
12 | 3685a46 |
13 | 228105c |
14 | 15a8b30 |
15 | dedae6 |
hex | a22796 |
10626966 has 96 divisors (see below), whose sum is σ = 29053440. Its totient is φ = 2737152.
The previous prime is 10626923. The next prime is 10626991. The reversal of 10626966 is 66962601.
It is a happy number.
It is a super-2 number, since 2×106269662 = 225864812730312, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10626966.
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 47 ways as a sum of consecutive naturals, for example, 54966 + ... + 55158.
It is an arithmetic number, because the mean of its divisors is an integer number (302640).
Almost surely, 210626966 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10626966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526720).
10626966 is an abundant number, since it is smaller than the sum of its proper divisors (18426474).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10626966 is a wasteful number, since it uses less digits than its factorization.
10626966 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 250 (or 247 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
The square root of 10626966 is about 3259.9027592859. The cubic root of 10626966 is about 219.8550422495.
It can be divided in two parts, 106 and 26966, that added together give a palindrome (27072).
The spelling of 10626966 in words is "ten million, six hundred twenty-six thousand, nine hundred sixty-six".
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