Search a number
-
+
17130000 = 24354571
BaseRepresentation
bin100000101011…
…0001000010000
31012020021221110
41001112020100
513341130000
61411053320
7265413456
oct101261020
935207843
1017130000
119740028
1258a1240
133719cc4
1423bc9d6
151785850
hex1056210

17130000 has 100 divisors (see below), whose sum is σ = 55394768. Its totient is φ = 4560000.

The previous prime is 17129989. The next prime is 17130007. The reversal of 17130000 is 3171.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (17130007) 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 19 ways as a sum of consecutive naturals, for example, 29715 + ... + 30285.

Almost surely, 217130000 is an apocalyptic number.

17130000 is a gapful number since it is divisible by the number (10) 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 17130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27697384).

17130000 is an abundant number, since it is smaller than the sum of its proper divisors (38264768).

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

17130000 is an equidigital number, since it uses as much as digits as its factorization.

17130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 17130000 is about 4138.8404173150. The cubic root of 17130000 is about 257.7819201563.

Adding to 17130000 its reverse (3171), we get a palindrome (17133171).

The spelling of 17130000 in words is "seventeen million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 571 600 625 750 1000 1142 1200 1250 1500 1713 1875 2000 2284 2500 2855 3000 3426 3750 4568 5000 5710 6000 6852 7500 8565 9136 10000 11420 13704 14275 15000 17130 22840 27408 28550 30000 34260 42825 45680 57100 68520 71375 85650 114200 137040 142750 171300 214125 228400 285500 342600 356875 428250 571000 685200 713750 856500 1070625 1142000 1427500 1713000 2141250 2855000 3426000 4282500 5710000 8565000 17130000