Base | Representation |
---|---|
bin | 101000000010… |
… | …000111100000 |
3 | 201202011122200 |
4 | 220002013200 |
5 | 10141310212 |
6 | 1012533200 |
7 | 155126004 |
oct | 50020740 |
9 | 21664580 |
10 | 10494432 |
11 | 5a18693 |
12 | 3621200 |
13 | 2235930 |
14 | 1572704 |
15 | dc46dc |
hex | a021e0 |
10494432 has 72 divisors (see below), whose sum is σ = 32150664. Its totient is φ = 3227904.
The previous prime is 10494413. The next prime is 10494443. The reversal of 10494432 is 23449401.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×104944322 = 220266206005248, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10494396 and 10494405.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2343 + ... + 5145.
It is an arithmetic number, because the mean of its divisors is an integer number (446537).
Almost surely, 210494432 is an apocalyptic number.
10494432 is a gapful number since it is divisible by the number (12) 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 10494432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075332).
10494432 is an abundant number, since it is smaller than the sum of its proper divisors (21656232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10494432 is a wasteful number, since it uses less digits than its factorization.
10494432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2832 (or 2821 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 10494432 is about 3239.5110742209. The cubic root of 10494432 is about 218.9372435433.
It can be divided in two parts, 104944 and 32, that added together give a 4-th power (104976 = 184).
The spelling of 10494432 in words is "ten million, four hundred ninety-four thousand, four hundred thirty-two".
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