Base | Representation |
---|---|
bin | 101111011000… |
… | …011001110000 |
3 | 212101001000200 |
4 | 233120121300 |
5 | 11134430340 |
6 | 1122115200 |
7 | 210401004 |
oct | 57303160 |
9 | 25331020 |
10 | 12420720 |
11 | 7013964 |
12 | 41abb00 |
13 | 275b650 |
14 | 1914704 |
15 | 1155330 |
hex | bd8670 |
12420720 has 120 divisors (see below), whose sum is σ = 44955456. Its totient is φ = 3055104.
The previous prime is 12420719. The next prime is 12420721. The reversal of 12420720 is 2702421.
12420720 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 is an interprime number because it is at equal distance from previous prime (12420719) and next prime (12420721).
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 junction number, because it is equal to n+sod(n) for n = 12420693 and 12420702.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12420721) 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, 8697 + ... + 10023.
Almost surely, 212420720 is an apocalyptic number.
12420720 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 12420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22477728).
12420720 is an abundant number, since it is smaller than the sum of its proper divisors (32534736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12420720 is a wasteful number, since it uses less digits than its factorization.
12420720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 12420720 is about 3524.3041866445. The cubic root of 12420720 is about 231.5877538336.
The spelling of 12420720 in words is "twelve million, four hundred twenty thousand, seven hundred twenty".
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