Base | Representation |
---|---|
bin | 1000000001000100… |
… | …1111001101110100 |
3 | 12112222101001100100 |
4 | 2000101033031310 |
5 | 13401403034140 |
6 | 553312514100 |
7 | 104220501351 |
oct | 20021171564 |
9 | 5488331310 |
10 | 2152002420 |
11 | a048272a7 |
12 | 50084b930 |
13 | 283ac7819 |
14 | 165b45628 |
15 | c8dda530 |
hex | 8044f374 |
2152002420 has 144 divisors (see below), whose sum is σ = 6835570560. Its totient is φ = 547292928.
The previous prime is 2152002389. The next prime is 2152002431. The reversal of 2152002420 is 242002512.
It is a super-2 number, since 2×21520024202 = 9262228831371712800, which contains 22 as substring.
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 = 2152002393 and 2152002402.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430777 + ... + 435743.
It is an arithmetic number, because the mean of its divisors is an integer number (47469240).
Almost surely, 22152002420 is an apocalyptic number.
2152002420 is a gapful number since it is divisible by the number (20) 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 2152002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417785280).
2152002420 is an abundant number, since it is smaller than the sum of its proper divisors (4683568140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2152002420 is a wasteful number, since it uses less digits than its factorization.
2152002420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5094 (or 5089 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 2152002420 is about 46389.6801023676. The cubic root of 2152002420 is about 1291.0634461362.
Adding to 2152002420 its reverse (242002512), we get a palindrome (2394004932).
The spelling of 2152002420 in words is "two billion, one hundred fifty-two million, two thousand, four hundred twenty".
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