Base | Representation |
---|---|
bin | 1111010001000011011100 |
3 | 21112022201200 |
4 | 33101003130 |
5 | 2011031022 |
6 | 221435500 |
7 | 46005450 |
oct | 17210334 |
9 | 7468650 |
10 | 4002012 |
11 | 2293853 |
12 | 140bb90 |
13 | aa1771 |
14 | 762660 |
15 | 540bac |
hex | 3d10dc |
4002012 has 36 divisors (see below), whose sum is σ = 11562096. Its totient is φ = 1143360.
The previous prime is 4002001. The next prime is 4002013. The reversal of 4002012 is 2102004.
4002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×40020122 = 32032200096288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 4001985 and 4002003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4002013) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7689 + ... + 8192.
Almost surely, 24002012 is an apocalyptic number.
4002012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
4002012 is an abundant number, since it is smaller than the sum of its proper divisors (7560084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4002012 is a wasteful number, since it uses less digits than its factorization.
4002012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15898 (or 15893 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 4002012 is about 2000.5029367637. The cubic root of 4002012 is about 158.7667161599.
Adding to 4002012 its reverse (2102004), we get a palindrome (6104016).
The spelling of 4002012 in words is "four million, two thousand, twelve".
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