Base | Representation |
---|---|
bin | 1111010001000111000000 |
3 | 21112100001010 |
4 | 33101013000 |
5 | 2011032430 |
6 | 221440520 |
7 | 46006224 |
oct | 17210700 |
9 | 7470033 |
10 | 4002240 |
11 | 2293a40 |
12 | 1410140 |
13 | aa18b8 |
14 | 762784 |
15 | 540cb0 |
hex | 3d11c0 |
4002240 has 112 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 967680.
The previous prime is 4002239. The next prime is 4002247. The reversal of 4002240 is 422004.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4002247) 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, 10371 + ... + 10749.
Almost surely, 24002240 is an apocalyptic number.
4002240 is a gapful number since it is divisible by the number (40) 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 4002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).
4002240 is an abundant number, since it is smaller than the sum of its proper divisors (9896640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4002240 is a wasteful number, since it uses less digits than its factorization.
4002240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 410 (or 400 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 4002240 is about 2000.5599216219. The cubic root of 4002240 is about 158.7697311536.
Adding to 4002240 its reverse (422004), we get a palindrome (4424244).
The spelling of 4002240 in words is "four million, two thousand, two hundred forty".
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