Base | Representation |
---|---|
bin | 111101000011001… |
… | …000011011010100 |
3 | 2122101021022222002 |
4 | 331003020123110 |
5 | 4044200343444 |
6 | 245344454432 |
7 | 34244551400 |
oct | 7503103324 |
9 | 2571238862 |
10 | 1024231124 |
11 | 486174004 |
12 | 24701a418 |
13 | 134272427 |
14 | 9a058100 |
15 | 5edbad4e |
hex | 3d0c86d4 |
1024231124 has 72 divisors (see below), whose sum is σ = 2194053120. Its totient is φ = 416332224.
The previous prime is 1024231093. The next prime is 1024231139. The reversal of 1024231124 is 4211324201.
It is a junction number, because it is equal to n+sod(n) for n = 1024231096 and 1024231105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571622 + ... + 573410.
It is an arithmetic number, because the mean of its divisors is an integer number (30472960).
Almost surely, 21024231124 is an apocalyptic number.
1024231124 is a gapful number since it is divisible by the number (14) 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 1024231124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097026560).
1024231124 is an abundant number, since it is smaller than the sum of its proper divisors (1169821996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024231124 is a wasteful number, since it uses less digits than its factorization.
1024231124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 1024231124 is about 32003.6111087483. The cubic root of 1024231124 is about 1008.0126670219.
Adding to 1024231124 its reverse (4211324201), we get a palindrome (5235555325).
The spelling of 1024231124 in words is "one billion, twenty-four million, two hundred thirty-one thousand, one hundred twenty-four".
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