Base | Representation |
---|---|
bin | 100110010001… |
… | …000000100110 |
3 | 200212122010210 |
4 | 212101000212 |
5 | 10031444032 |
6 | 555000250 |
7 | 151156212 |
oct | 46210046 |
9 | 20778123 |
10 | 10031142 |
11 | 5731600 |
12 | 3439086 |
13 | 2102ab4 |
14 | 1491942 |
15 | d322cc |
hex | 991026 |
10031142 has 48 divisors (see below), whose sum is σ = 22656816. Its totient is φ = 2956800.
The previous prime is 10031141. The next prime is 10031159. The reversal of 10031142 is 24113001.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10031141) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29598 + ... + 29934.
It is an arithmetic number, because the mean of its divisors is an integer number (472017).
Almost surely, 210031142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10031142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328408).
10031142 is an abundant number, since it is smaller than the sum of its proper divisors (12625674).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031142 is a wasteful number, since it uses less digits than its factorization.
10031142 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 405 (or 394 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 10031142 is about 3167.1978151041. The cubic root of 10031142 is about 215.6668819296. Note that the first 3 decimals are identical.
Adding to 10031142 its reverse (24113001), we get a palindrome (34144143).
It can be divided in two parts, 1003 and 1142, that added together give a triangular number (2145 = T65).
The spelling of 10031142 in words is "ten million, thirty-one thousand, one hundred forty-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.068 sec. • engine limits •