Search a number
-
+
17680129 is a prime number
BaseRepresentation
bin100001101110…
…0011100000001
31020021020120121
41003130130001
514011231004
61430540241
7303164365
oct103343401
936236517
1017680129
119a86385
125b07681
13388051c
1424c32a5
151843854
hex10dc701

17680129 has 2 divisors, whose sum is σ = 17680130. Its totient is φ = 17680128.

The previous prime is 17680099. The next prime is 17680133. The reversal of 17680129 is 92108671.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14807104 + 2873025 = 3848^2 + 1695^2 .

It is a cyclic number.

It is not a de Polignac number, because 17680129 - 25 = 17680097 is a prime.

It is a super-2 number, since 2×176801292 = 625173922913282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17680094 and 17680103.

It is not a weakly prime, because it can be changed into another prime (17680139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8840064 + 8840065.

It is an arithmetic number, because the mean of its divisors is an integer number (8840065).

Almost surely, 217680129 is an apocalyptic number.

It is an amenable number.

17680129 is a deficient number, since it is larger than the sum of its proper divisors (1).

17680129 is an equidigital number, since it uses as much as digits as its factorization.

17680129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 17680129 is about 4204.7745480584. The cubic root of 17680129 is about 260.5124459407.

The spelling of 17680129 in words is "seventeen million, six hundred eighty thousand, one hundred twenty-nine".