Base | Representation |
---|---|
bin | 101000110101… |
… | …111110010000 |
3 | 202010222000100 |
4 | 220311332100 |
5 | 10220104312 |
6 | 1021252400 |
7 | 160002153 |
oct | 50657620 |
9 | 22128010 |
10 | 10706832 |
11 | 6053224 |
12 | 3704100 |
13 | 22ab506 |
14 | 15c9c9a |
15 | e175dc |
hex | a35f90 |
10706832 has 30 divisors (see below), whose sum is σ = 29964662. Its totient is φ = 3568896.
The previous prime is 10706831. The next prime is 10706849. The reversal of 10706832 is 23860701.
10706832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 9960336 + 746496 = 3156^2 + 864^2 .
It is a super-2 number, since 2×107068322 = 229272502952448, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 10706796 and 10706805.
It is not an unprimeable number, because it can be changed into a prime (10706831) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37033 + ... + 37320.
Almost surely, 210706832 is an apocalyptic number.
10706832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10706832 is an abundant number, since it is smaller than the sum of its proper divisors (19257830).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10706832 is a wasteful number, since it uses less digits than its factorization.
10706832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74367 (or 74358 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 10706832 is about 3272.1295817861. The cubic root of 10706832 is about 220.4044351179.
The spelling of 10706832 in words is "ten million, seven hundred six thousand, eight hundred thirty-two".
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