Base | Representation |
---|---|
bin | 100110101110… |
… | …0011001011000 |
3 | 1102012102021201 |
4 | 1031130121120 |
5 | 20144121100 |
6 | 2003043544 |
7 | 334362520 |
oct | 115343130 |
9 | 42172251 |
10 | 20301400 |
11 | 10506819 |
12 | 69705b4 |
13 | 428a682 |
14 | 29a6680 |
15 | 1bb036a |
hex | 135c658 |
20301400 has 96 divisors (see below), whose sum is σ = 57183840. Its totient is φ = 6543360.
The previous prime is 20301397. The next prime is 20301401. The reversal of 20301400 is 410302.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20301401) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23374 + ... + 24226.
It is an arithmetic number, because the mean of its divisors is an integer number (595665).
Almost surely, 220301400 is an apocalyptic number.
20301400 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 20301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591920).
20301400 is an abundant number, since it is smaller than the sum of its proper divisors (36882440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20301400 is a wasteful number, since it uses less digits than its factorization.
20301400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 893 (or 884 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 20301400 is about 4505.7074916155. The cubic root of 20301400 is about 272.7985113566.
Adding to 20301400 its reverse (410302), we get a palindrome (20711702).
The spelling of 20301400 in words is "twenty million, three hundred one thousand, four hundred".
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