Base | Representation |
---|---|
bin | 11001011001100… |
… | …01000000000000 |
3 | 112211220122121120 |
4 | 30230301000000 |
5 | 414020433012 |
6 | 33050352240 |
7 | 5164664640 |
oct | 1454610000 |
9 | 484818546 |
10 | 213061632 |
11 | aa2a43a3 |
12 | 5b42b680 |
13 | 351ab594 |
14 | 20422520 |
15 | 13a8958c |
hex | cb31000 |
213061632 has 104 divisors (see below), whose sum is σ = 649513536. Its totient is φ = 60850176.
The previous prime is 213061631. The next prime is 213061633. The reversal of 213061632 is 236160312.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (213061631) and next prime (213061633).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nialpdrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (213061631) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84778 + ... + 87254.
Almost surely, 2213061632 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324756768).
213061632 is an abundant number, since it is smaller than the sum of its proper divisors (436451904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213061632 is an equidigital number, since it uses as much as digits as its factorization.
213061632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2511 (or 2489 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
The square root of 213061632 is about 14596.6308441366. The cubic root of 213061632 is about 597.2668576817.
The spelling of 213061632 in words is "two hundred thirteen million, sixty-one thousand, six hundred thirty-two".
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