Base | Representation |
---|---|
bin | 100110010001… |
… | …011101000110 |
3 | 200212201122100 |
4 | 212101131012 |
5 | 10032023331 |
6 | 555012530 |
7 | 151164426 |
oct | 46213506 |
9 | 20781570 |
10 | 10032966 |
11 | 5732a09 |
12 | 343a146 |
13 | 2103888 |
14 | 1492486 |
15 | d32ae6 |
hex | 991746 |
10032966 has 24 divisors (see below), whose sum is σ = 21813480. Its totient is φ = 3332736.
The previous prime is 10032937. The next prime is 10032977. The reversal of 10032966 is 66923001.
It is a happy number.
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 11 ways as a sum of consecutive naturals, for example, 5565 + ... + 7143.
It is an arithmetic number, because the mean of its divisors is an integer number (908895).
Almost surely, 210032966 is an apocalyptic number.
10032966 is an abundant number, since it is smaller than the sum of its proper divisors (11780514).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10032966 is a wasteful number, since it uses less digits than its factorization.
10032966 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1940 (or 1937 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
The square root of 10032966 is about 3167.4857537170. The cubic root of 10032966 is about 215.6799529755.
Adding to 10032966 its reverse (66923001), we get a palindrome (76955967).
It can be divided in two parts, 1003 and 2966, that added together give a square (3969 = 632).
The spelling of 10032966 in words is "ten million, thirty-two thousand, nine hundred sixty-six".
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