Base | Representation |
---|---|
bin | 101001110111… |
… | …111000000000 |
3 | 202122200021222 |
4 | 221313320000 |
5 | 10302224033 |
6 | 1031134212 |
7 | 162205145 |
oct | 51677000 |
9 | 22580258 |
10 | 10976768 |
11 | 6218010 |
12 | 3814368 |
13 | 237433a |
14 | 165a3cc |
15 | e6c598 |
hex | a77e00 |
10976768 has 40 divisors (see below), whose sum is σ = 23938200. Its totient is φ = 4986880.
The previous prime is 10976741. The next prime is 10976783. The reversal of 10976768 is 86767901.
It is a Harshad number since it is a multiple of its sum of digits (44).
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 3 ways as a sum of consecutive naturals, for example, 4658 + ... + 6606.
It is an arithmetic number, because the mean of its divisors is an integer number (598455).
Almost surely, 210976768 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969100).
10976768 is an abundant number, since it is smaller than the sum of its proper divisors (12961432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10976768 is an equidigital number, since it uses as much as digits as its factorization.
10976768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1978 (or 1962 counting only the distinct ones).
The product of its (nonzero) digits is 127008, while the sum is 44.
The square root of 10976768 is about 3313.1205833776. The cubic root of 10976768 is about 222.2413305050.
The spelling of 10976768 in words is "ten million, nine hundred seventy-six thousand, seven hundred sixty-eight".
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