Search a number
-
+
17130528 = 25352203
BaseRepresentation
bin100000101011…
…0010000100000
31012020022200000
41001112100200
513341134103
61411100000
7265415142
oct101262040
935208600
1017130528
119740468
1258a1600
13371a30c
1423bcc92
151785aa3
hex1056420

17130528 has 72 divisors (see below), whose sum is σ = 50542128. Its totient is φ = 5707584.

The previous prime is 17130527. The next prime is 17130539. The reversal of 17130528 is 82503171.

17130528 is a `hidden beast` number, since 1 + 7 + 130 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (17130523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6675 + ... + 8877.

It is an arithmetic number, because the mean of its divisors is an integer number (701974).

Almost surely, 217130528 is an apocalyptic number.

17130528 is a gapful number since it is divisible by the number (18) 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 17130528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25271064).

17130528 is an abundant number, since it is smaller than the sum of its proper divisors (33411600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17130528 is an equidigital number, since it uses as much as digits as its factorization.

17130528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 17130528 is about 4138.9042028054. The cubic root of 17130528 is about 257.7845686765.

Adding to 17130528 its reverse (82503171), we get a palindrome (99633699).

The spelling of 17130528 in words is "seventeen million, one hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2203 2592 3888 4406 6609 7776 8812 13218 17624 19827 26436 35248 39654 52872 59481 70496 79308 105744 118962 158616 178443 211488 237924 317232 356886 475848 535329 634464 713772 951696 1070658 1427544 1903392 2141316 2855088 4282632 5710176 8565264 17130528