Base | Representation |
---|---|
bin | 100110001111… |
… | …000111110000 |
3 | 200212020112100 |
4 | 212033013300 |
5 | 10031222113 |
6 | 554500400 |
7 | 151124523 |
oct | 46170760 |
9 | 20766470 |
10 | 10023408 |
11 | 572680a |
12 | 3434700 |
13 | 20cc415 |
14 | 148cbba |
15 | d2ed73 |
hex | 98f1f0 |
10023408 has 60 divisors (see below), whose sum is σ = 28667808. Its totient is φ = 3267840.
The previous prime is 10023407. The next prime is 10023443. The reversal of 10023408 is 80432001.
It is a happy number.
10023408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023407) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6028 + ... + 7508.
Almost surely, 210023408 is an apocalyptic number.
10023408 is a gapful number since it is divisible by the number (18) 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 10023408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333904).
10023408 is an abundant number, since it is smaller than the sum of its proper divisors (18644400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023408 is a wasteful number, since it uses less digits than its factorization.
10023408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1542 (or 1533 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 10023408 is about 3165.9766265720. The cubic root of 10023408 is about 215.6114413655.
Adding to 10023408 its reverse (80432001), we get a palindrome (90455409).
The spelling of 10023408 in words is "ten million, twenty-three thousand, four hundred eight".
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