Base | Representation |
---|---|
bin | 1111011010101… |
… | …0001001000000 |
3 | 11111200001220000 |
4 | 3312222021000 |
5 | 113023110112 |
6 | 10225520000 |
7 | 1413413133 |
oct | 366521100 |
9 | 144601800 |
10 | 64660032 |
11 | 33554048 |
12 | 197a3000 |
13 | 1051c098 |
14 | 883221a |
15 | 5a237dc |
hex | 3daa240 |
64660032 has 70 divisors (see below), whose sum is σ = 191687958. Its totient is φ = 21551616.
The previous prime is 64660019. The next prime is 64660039. The reversal of 64660032 is 23006646.
It can be written as a sum of positive squares in only one way, i.e., 59351616 + 5308416 = 7704^2 + 2304^2 .
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 = 64659978 and 64660005.
It is not an unprimeable number, because it can be changed into a prime (64660039) 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 9 ways as a sum of consecutive naturals, for example, 1053 + ... + 11420.
Almost surely, 264660032 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 64660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95843979).
64660032 is an abundant number, since it is smaller than the sum of its proper divisors (127027926).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64660032 is a wasteful number, since it uses less digits than its factorization.
64660032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12497 (or 12478 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
The square root of 64660032 is about 8041.1461869562. The cubic root of 64660032 is about 401.3703665442.
Adding to 64660032 its reverse (23006646), we get a palindrome (87666678).
The spelling of 64660032 in words is "sixty-four million, six hundred sixty thousand, thirty-two".
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