Base | Representation |
---|---|
bin | 100110001111… |
… | …000001110000 |
3 | 200212020000010 |
4 | 212033001300 |
5 | 10031214044 |
6 | 554454520 |
7 | 151123434 |
oct | 46170160 |
9 | 20766003 |
10 | 10023024 |
11 | 57264a0 |
12 | 3434440 |
13 | 20cc1ab |
14 | 148c9c4 |
15 | d2ebb9 |
hex | 98f070 |
10023024 has 80 divisors (see below), whose sum is σ = 28998144. Its totient is φ = 2956800.
The previous prime is 10023023. The next prime is 10023031. The reversal of 10023024 is 42032001.
It is a super-2 number, since 2×100230242 = 200922020209152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023023) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21417 + ... + 21879.
Almost surely, 210023024 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 10023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499072).
10023024 is an abundant number, since it is smaller than the sum of its proper divisors (18975120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023024 is a wasteful number, since it uses less digits than its factorization.
10023024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 526 (or 520 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 10023024 is about 3165.9159811972. The cubic root of 10023024 is about 215.6086879490.
Adding to 10023024 its reverse (42032001), we get a palindrome (52055025).
The spelling of 10023024 in words is "ten million, twenty-three thousand, twenty-four".
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