| Base | Representation |
|---|---|
| bin | 11001011101111… |
| … | …10110111110100 |
| 3 | 112220000011202002 |
| 4 | 30232332313310 |
| 5 | 414143031430 |
| 6 | 33111034432 |
| 7 | 5202635063 |
| oct | 1456766764 |
| 9 | 486004662 |
| 10 | 213642740 |
| 11 | aa660a53 |
| 12 | 5b66ba18 |
| 13 | 35352c2c |
| 14 | 205341da |
| 15 | 13b51845 |
| hex | cbbedf4 |
213642740 has 48 divisors (see below), whose sum is σ = 482875344. Its totient is φ = 79104000.
The previous prime is 213642719. The next prime is 213642761. The reversal of 213642740 is 47246312.
It is an interprime number because it is at equal distance from previous prime (213642719) and next prime (213642761).
It can be written as a sum of positive squares in 8 ways, for example, as 1008016 + 212634724 = 1004^2 + 14582^2 .
It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15590 + ... + 25890.
It is an arithmetic number, because the mean of its divisors is an integer number (10059903).
Almost surely, 2213642740 is an apocalyptic number.
213642740 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 213642740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241437672).
213642740 is an abundant number, since it is smaller than the sum of its proper divisors (269232604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213642740 is a wasteful number, since it uses less digits than its factorization.
213642740 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10388 (or 10386 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 29.
The square root of 213642740 is about 14616.5228423179. The cubic root of 213642740 is about 597.8093634382.
The spelling of 213642740 in words is "two hundred thirteen million, six hundred forty-two thousand, seven hundred forty".
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