| Base | Representation |
|---|---|
| bin | 100110111010… |
| … | …0110000110000 |
| 3 | 1102101111012000 |
| 4 | 1031310300300 |
| 5 | 20210314300 |
| 6 | 2005134000 |
| 7 | 335256501 |
| oct | 115646060 |
| 9 | 42344160 |
| 10 | 20401200 |
| 11 | 105747a6 |
| 12 | 69ba300 |
| 13 | 42c3c21 |
| 14 | 29d0ba8 |
| 15 | 1bcec00 |
| hex | 1374c30 |
20401200 has 120 divisors (see below), whose sum is σ = 72651600. Its totient is φ = 5437440.
The previous prime is 20401141. The next prime is 20401217. The reversal of 20401200 is 210402.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×204012002 = 832417922880000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
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 23 ways as a sum of consecutive naturals, for example, 9856 + ... + 11744.
It is an arithmetic number, because the mean of its divisors is an integer number (605430).
Almost surely, 220401200 is an apocalyptic number.
20401200 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 20401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36325800).
20401200 is an abundant number, since it is smaller than the sum of its proper divisors (52250400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20401200 is a wasteful number, since it uses less digits than its factorization.
20401200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1916 (or 1899 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 20401200 is about 4516.7687565338. The cubic root of 20401200 is about 273.2447991405.
Adding to 20401200 its reverse (210402), we get a palindrome (20611602).
It can be divided in two parts, 2040 and 1200, that added together give a triangular number (3240 = T80).
The spelling of 20401200 in words is "twenty million, four hundred one thousand, two hundred".
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