Base | Representation |
---|---|
bin | 11001101100111… |
… | …10111011010000 |
3 | 120000201002000000 |
4 | 30312132323100 |
5 | 420143442130 |
6 | 33221130000 |
7 | 5225434533 |
oct | 1466367320 |
9 | 500632000 |
10 | 215609040 |
11 | 100784299 |
12 | 60259900 |
13 | 35890c1a |
14 | 208c6a1a |
15 | 13dde260 |
hex | cd9eed0 |
215609040 has 140 divisors (see below), whose sum is σ = 751796004. Its totient is φ = 57480192.
The previous prime is 215609039. The next prime is 215609041. The reversal of 215609040 is 40906512.
215609040 is a `hidden beast` number, since 2 + 15 + 609 + 0 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (215609039) and next prime (215609041).
It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 170772624 = 6696^2 + 13068^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 215608995 and 215609013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (215609041) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56472 + ... + 60168.
Almost surely, 2215609040 is an apocalyptic number.
215609040 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 215609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375898002).
215609040 is an abundant number, since it is smaller than the sum of its proper divisors (536186964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
215609040 is an equidigital number, since it uses as much as digits as its factorization.
215609040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3728 (or 3707 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 215609040 is about 14683.6317033628. The cubic root of 215609040 is about 599.6377813734.
The spelling of 215609040 in words is "two hundred fifteen million, six hundred nine thousand, forty".
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