Base | Representation |
---|---|
bin | 11101100010001001000100 |
3 | 112120100001111 |
4 | 131202021010 |
5 | 3440221040 |
6 | 433534404 |
7 | 122543326 |
oct | 35421104 |
9 | 15510044 |
10 | 7742020 |
11 | 4408770 |
12 | 2714404 |
13 | 17b0ba0 |
14 | 1057616 |
15 | a2ddea |
hex | 762244 |
7742020 has 48 divisors (see below), whose sum is σ = 19107648. Its totient is φ = 2597760.
The previous prime is 7742017. The next prime is 7742023. The reversal of 7742020 is 202477.
It is an interprime number because it is at equal distance from previous prime (7742017) and next prime (7742023).
It is a super-3 number, since 3×77420203 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 7741982 and 7742000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (7742023) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507 + ... + 4213.
It is an arithmetic number, because the mean of its divisors is an integer number (398076).
Almost surely, 27742020 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 7742020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553824).
7742020 is an abundant number, since it is smaller than the sum of its proper divisors (11365628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7742020 is a wasteful number, since it uses less digits than its factorization.
7742020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2740 (or 2738 counting only the distinct ones).
The product of its (nonzero) digits is 784, while the sum is 22.
The square root of 7742020 is about 2782.4485619684. The cubic root of 7742020 is about 197.8266346309.
Adding to 7742020 its reverse (202477), we get a palindrome (7944497).
The spelling of 7742020 in words is "seven million, seven hundred forty-two thousand, twenty".
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