| Base | Representation |
|---|---|
| bin | 1001000001111010… |
| … | …0111111011010000 |
| 3 | 20020221002021010100 |
| 4 | 2100132213323100 |
| 5 | 14431012300320 |
| 6 | 1040305332400 |
| 7 | 114032131521 |
| oct | 22036477320 |
| 9 | 6227067110 |
| 10 | 2423946960 |
| 11 | 1034289256 |
| 12 | 577937100 |
| 13 | 2c8251756 |
| 14 | 18dcd4848 |
| 15 | e2c06790 |
| hex | 907a7ed0 |
2423946960 has 120 divisors (see below), whose sum is σ = 8360525160. Its totient is φ = 628909056.
The previous prime is 2423946919. The next prime is 2423947003. The reversal of 2423946960 is 696493242.
2423946960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 918817344 + 1505129616 = 30312^2 + 38796^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (45).
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, 18855 + ... + 72134.
It is an arithmetic number, because the mean of its divisors is an integer number (69671043).
Almost surely, 22423946960 is an apocalyptic number.
2423946960 is a gapful number since it is divisible by the number (20) 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 2423946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180262580).
2423946960 is an abundant number, since it is smaller than the sum of its proper divisors (5936578200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2423946960 is a wasteful number, since it uses less digits than its factorization.
2423946960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 91045 (or 91036 counting only the distinct ones).
The product of its (nonzero) digits is 559872, while the sum is 45.
The square root of 2423946960 is about 49233.5958467386. The cubic root of 2423946960 is about 1343.3041944693.
The spelling of 2423946960 in words is "two billion, four hundred twenty-three million, nine hundred forty-six thousand, nine hundred sixty".
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