Base | Representation |
---|---|
bin | 111100111111010… |
… | …111000000000000 |
3 | 2122022102002110202 |
4 | 330333113000000 |
5 | 4043422222430 |
6 | 245311344332 |
7 | 34233262346 |
oct | 7477270000 |
9 | 2568362422 |
10 | 1023242240 |
11 | 485659049 |
12 | 2468220a8 |
13 | 133cb72a7 |
14 | 99c7b996 |
15 | 5ec72d45 |
hex | 3cfd7000 |
1023242240 has 104 divisors (see below), whose sum is σ = 2600806320. Its totient is φ = 385089536.
The previous prime is 1023242219. The next prime is 1023242287. The reversal of 1023242240 is 422423201.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346691 + ... + 349629.
Almost surely, 21023242240 is an apocalyptic number.
1023242240 is a gapful number since it is divisible by the number (10) 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 1023242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300403160).
1023242240 is an abundant number, since it is smaller than the sum of its proper divisors (1577564080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023242240 is an equidigital number, since it uses as much as digits as its factorization.
1023242240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2985 (or 2963 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 1023242240 is about 31988.1578087892. The cubic root of 1023242240 is about 1007.6881541428.
Adding to 1023242240 its reverse (422423201), we get a palindrome (1445665441).
The spelling of 1023242240 in words is "one billion, twenty-three million, two hundred forty-two thousand, two hundred forty".
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