| Base | Representation |
|---|---|
| bin | 11001011110100… |
| … | …11010100100100 |
| 3 | 112220011102122022 |
| 4 | 30233103110210 |
| 5 | 414203222000 |
| 6 | 33112522312 |
| 7 | 5203434221 |
| oct | 1457232444 |
| 9 | 486142568 |
| 10 | 213726500 |
| 11 | aa708979 |
| 12 | 5b6b0398 |
| 13 | 353820b0 |
| 14 | 20556948 |
| 15 | 13b6b585 |
| hex | cbd3524 |
213726500 has 96 divisors (see below), whose sum is σ = 508540032. Its totient is φ = 78000000.
The previous prime is 213726479. The next prime is 213726509. The reversal of 213726500 is 5627312.
213726500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a self number, because there is not a number n which added to its sum of digits gives 213726500.
It is not an unprimeable number, because it can be changed into a prime (213726509) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851375 + ... + 851625.
It is an arithmetic number, because the mean of its divisors is an integer number (5297292).
Almost surely, 2213726500 is an apocalyptic number.
213726500 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 213726500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254270016).
213726500 is an abundant number, since it is smaller than the sum of its proper divisors (294813532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213726500 is a wasteful number, since it uses less digits than its factorization.
213726500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 414 (or 402 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 26.
The square root of 213726500 is about 14619.3878120802. The cubic root of 213726500 is about 597.8874782230.
It can be divided in two parts, 21372 and 6500, that added together give a palindrome (27872).
The spelling of 213726500 in words is "two hundred thirteen million, seven hundred twenty-six thousand, five hundred".
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