Base | Representation |
---|---|
bin | 100110100001… |
… | …000110001000 |
3 | 200222222112011 |
4 | 212201012020 |
5 | 10041101112 |
6 | 1000225304 |
7 | 151552261 |
oct | 46410610 |
9 | 20888464 |
10 | 10097032 |
11 | 5777060 |
12 | 346b234 |
13 | 2126a9a |
14 | 14ab968 |
15 | d46aa7 |
hex | 9a1188 |
10097032 has 32 divisors (see below), whose sum is σ = 20800800. Its totient is φ = 4556800.
The previous prime is 10097027. The next prime is 10097039. The reversal of 10097032 is 23079001.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 10096994 and 10097012.
It is not an unprimeable number, because it can be changed into a prime (10097039) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15432 + ... + 16072.
It is an arithmetic number, because the mean of its divisors is an integer number (650025).
Almost surely, 210097032 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 10097032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10400400).
10097032 is an abundant number, since it is smaller than the sum of its proper divisors (10703768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10097032 is a wasteful number, since it uses less digits than its factorization.
10097032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 837 (or 833 counting only the distinct ones).
The product of its (nonzero) digits is 378, while the sum is 22.
The square root of 10097032 is about 3177.5827290568. The cubic root of 10097032 is about 216.1380576028.
The spelling of 10097032 in words is "ten million, ninety-seven thousand, thirty-two".
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