Base | Representation |
---|---|
bin | 11010101101001110110000 |
3 | 111011200120121 |
4 | 122231032300 |
5 | 3243013013 |
6 | 410020024 |
7 | 113336050 |
oct | 32551660 |
9 | 14150517 |
10 | 7001008 |
11 | 3a51a63 |
12 | 2417614 |
13 | 15b1811 |
14 | d03560 |
15 | 93458d |
hex | 6ad3b0 |
7001008 has 40 divisors (see below), whose sum is σ = 16418592. Its totient is φ = 2823168.
The previous prime is 7001003. The next prime is 7001011. The reversal of 7001008 is 8001007.
It is a super-2 number, since 2×70010082 = 98028226032128, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 7000982 and 7001000.
It is not an unprimeable number, because it can be changed into a prime (7001003) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 3742.
Almost surely, 27001008 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 7001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209296).
7001008 is an abundant number, since it is smaller than the sum of its proper divisors (9417584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7001008 is a wasteful number, since it uses less digits than its factorization.
7001008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3709 (or 3703 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 16.
The square root of 7001008 is about 2645.9417983017. The cubic root of 7001008 is about 191.3022999062.
Subtracting 7001008 from its reverse (8001007), we obtain a palindrome (999999).
It can be divided in two parts, 700 and 1008, that multiplied together give a square (705600 = 8402).
The spelling of 7001008 in words is "seven million, one thousand, eight".
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