Base | Representation |
---|---|
bin | 101010101110… |
… | …011000010100 |
3 | 210002000112120 |
4 | 222232120110 |
5 | 10331400040 |
6 | 1040015540 |
7 | 164125056 |
oct | 52563024 |
9 | 23060476 |
10 | 11200020 |
11 | 635a817 |
12 | 39015b0 |
13 | 2421b40 |
14 | 16b78d6 |
15 | eb37d0 |
hex | aae614 |
11200020 has 96 divisors (see below), whose sum is σ = 34376832. Its totient is φ = 2707968.
The previous prime is 11200019. The next prime is 11200031. The reversal of 11200020 is 2000211.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 11199981 and 11200008.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 64654 + ... + 64826.
It is an arithmetic number, because the mean of its divisors is an integer number (358092).
Almost surely, 211200020 is an apocalyptic number.
11200020 is a gapful number since it is divisible by the number (10) 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 11200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188416).
11200020 is an abundant number, since it is smaller than the sum of its proper divisors (23176812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11200020 is a wasteful number, since it uses less digits than its factorization.
11200020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 281 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 11200020 is about 3346.6430942065. The cubic root of 11200020 is about 223.7379215935.
Adding to 11200020 its reverse (2000211), we get a palindrome (13200231).
It can be divided in two parts, 1 and 1200020, that added together give a palindrome (1200021).
The spelling of 11200020 in words is "eleven million, two hundred thousand, twenty".
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