| Base | Representation |
|---|---|
| bin | 100111010110011… |
| … | …1110011101110000 |
| 3 | 10102000120221011200 |
| 4 | 1032230332131300 |
| 5 | 10201011204130 |
| 6 | 335005011200 |
| 7 | 44502216462 |
| oct | 11654763560 |
| 9 | 3360527150 |
| 10 | 1320413040 |
| 11 | 61837a951 |
| 12 | 30a253b00 |
| 13 | 1807343bb |
| 14 | c7516132 |
| 15 | 7adc3760 |
| hex | 4eb3e770 |
1320413040 has 120 divisors (see below), whose sum is σ = 4537618800. Its totient is φ = 343913472.
The previous prime is 1320413027. The next prime is 1320413047. The reversal of 1320413040 is 403140231.
1320413040 is a `hidden beast` number, since 1 + 320 + 41 + 304 + 0 = 666.
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 (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1320413047) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9636 + ... + 52284.
It is an arithmetic number, because the mean of its divisors is an integer number (37813490).
Almost surely, 21320413040 is an apocalyptic number.
1320413040 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 1320413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268809400).
1320413040 is an abundant number, since it is smaller than the sum of its proper divisors (3217205760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1320413040 is a wasteful number, since it uses less digits than its factorization.
1320413040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42711 (or 42702 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 1320413040 is about 36337.4880804934. The cubic root of 1320413040 is about 1097.0757149434.
Adding to 1320413040 its reverse (403140231), we get a palindrome (1723553271).
It can be divided in two parts, 13204 and 13040, that added together give a square (26244 = 1622).
The spelling of 1320413040 in words is "one billion, three hundred twenty million, four hundred thirteen thousand, forty".
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