Search a number
-
+
17131413 = 313509863
BaseRepresentation
bin100000101011…
…0011110010101
31012020100212210
41001112132111
513341201123
61411104033
7265420545
oct101263625
935210783
1017131413
1197410a2
1258a2019
13371a840
1423bd325
151785e93
hex1056795

17131413 has 16 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 10509504.

The previous prime is 17131409. The next prime is 17131441. The reversal of 17131413 is 31413171.

It is not a de Polignac number, because 17131413 - 22 = 17131409 is a prime.

It is a super-2 number, since 2×171314132 = 586970622753138, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 17131413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17131813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19420 + ... + 20282.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 217131413 is an apocalyptic number.

17131413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17131413 is a deficient number, since it is larger than the sum of its proper divisors (7544427).

17131413 is a wasteful number, since it uses less digits than its factorization.

17131413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388.

The product of its digits is 252, while the sum is 21.

The square root of 17131413 is about 4139.0111137807. The cubic root of 17131413 is about 257.7890078356.

Adding to 17131413 its reverse (31413171), we get a palindrome (48544584).

The spelling of 17131413 in words is "seventeen million, one hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 13 39 509 863 1527 2589 6617 11219 19851 33657 439267 1317801 5710471 17131413