Base | Representation |
---|---|
bin | 100110010111… |
… | …0000000000100 |
3 | 1101211202121100 |
4 | 1030232000010 |
5 | 20122030424 |
6 | 1555020100 |
7 | 332641500 |
oct | 114560004 |
9 | 41752540 |
10 | 20111364 |
11 | 10396a69 |
12 | 689a630 |
13 | 4222020 |
14 | 2957300 |
15 | 1b73dc9 |
hex | 132e004 |
20111364 has 108 divisors (see below), whose sum is σ = 63758604. Its totient is φ = 5298048.
The previous prime is 20111359. The next prime is 20111393. The reversal of 20111364 is 46311102.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 10188864 = 3150^2 + 3192^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22494 + ... + 23370.
Almost surely, 220111364 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 20111364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31879302).
20111364 is an abundant number, since it is smaller than the sum of its proper divisors (43647240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20111364 is a wasteful number, since it uses less digits than its factorization.
20111364 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 914 (or 902 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 20111364 is about 4484.5695445605. The cubic root of 20111364 is about 271.9446434349.
Adding to 20111364 its reverse (46311102), we get a palindrome (66422466).
It can be divided in two parts, 2011 and 1364, that added together give a cube (3375 = 153).
The spelling of 20111364 in words is "twenty million, one hundred eleven thousand, three hundred sixty-four".
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