| Base | Representation |
|---|---|
| bin | 11001011100001… |
| … | …00100110001000 |
| 3 | 112212120001022100 |
| 4 | 30232010212020 |
| 5 | 414112412130 |
| 6 | 33101553400 |
| 7 | 5200622133 |
| oct | 1456044610 |
| 9 | 485501270 |
| 10 | 213404040 |
| 11 | aa508683 |
| 12 | 5b575860 |
| 13 | 3529b3a5 |
| 14 | 204b121a |
| 15 | 13b05c60 |
| hex | cb84988 |
213404040 has 96 divisors (see below), whose sum is σ = 717514200. Its totient is φ = 54942720.
The previous prime is 213403999. The next prime is 213404041. The reversal of 213404040 is 40404312.
213404040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 198979236 + 14424804 = 14106^2 + 3798^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213404041) by changing a digit.
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, 220 + ... + 20660.
Almost surely, 2213404040 is an apocalyptic number.
213404040 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 213404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358757100).
213404040 is an abundant number, since it is smaller than the sum of its proper divisors (504110160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213404040 is a wasteful number, since it uses less digits than its factorization.
213404040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20487 (or 20480 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 213404040 is about 14608.3551435471. The cubic root of 213404040 is about 597.5866391641.
Adding to 213404040 its reverse (40404312), we get a palindrome (253808352).
The spelling of 213404040 in words is "two hundred thirteen million, four hundred four thousand, forty".
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