Base | Representation |
---|---|
bin | 100110010111… |
… | …110001010000 |
3 | 200221001010100 |
4 | 212113301100 |
5 | 10033340312 |
6 | 555332400 |
7 | 151333020 |
oct | 46276120 |
9 | 20831110 |
10 | 10058832 |
11 | 5750393 |
12 | 3451100 |
13 | 2112594 |
14 | 149ba80 |
15 | d3a5dc |
hex | 997c50 |
10058832 has 120 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2700288.
The previous prime is 10058831. The next prime is 10058837. The reversal of 10058832 is 23885001.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 10058796 and 10058805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10058831) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 16843 + ... + 17429.
Almost surely, 210058832 is an apocalyptic number.
10058832 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 10058832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).
10058832 is an abundant number, since it is smaller than the sum of its proper divisors (24063984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10058832 is a wasteful number, since it uses less digits than its factorization.
10058832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 625 (or 616 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 10058832 is about 3171.5661746210. The cubic root of 10058832 is about 215.8651421576.
The spelling of 10058832 in words is "ten million, fifty-eight thousand, eight hundred thirty-two".
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