Base | Representation |
---|---|
bin | 100110010001… |
… | …000010000000 |
3 | 200212122021010 |
4 | 212101002000 |
5 | 10031444412 |
6 | 555000520 |
7 | 151156401 |
oct | 46210200 |
9 | 20778233 |
10 | 10031232 |
11 | 5731682 |
12 | 3439140 |
13 | 2102b53 |
14 | 14919a8 |
15 | d3233c |
hex | 991080 |
10031232 has 64 divisors (see below), whose sum is σ = 26976960. Its totient is φ = 3302400.
The previous prime is 10031227. The next prime is 10031233. The reversal of 10031232 is 23213001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (10031233) 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, 57898 + ... + 58070.
It is an arithmetic number, because the mean of its divisors is an integer number (421515).
Almost surely, 210031232 is an apocalyptic number.
10031232 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 10031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488480).
10031232 is an abundant number, since it is smaller than the sum of its proper divisors (16945728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031232 is a wasteful number, since it uses less digits than its factorization.
10031232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 341 (or 329 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 10031232 is about 3167.2120232154. The cubic root of 10031232 is about 215.6675269197.
Adding to 10031232 its reverse (23213001), we get a palindrome (33244233).
The spelling of 10031232 in words is "ten million, thirty-one thousand, two hundred thirty-two".
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