Search a number
-
+
170380809 = 321922292
BaseRepresentation
bin10100010011111…
…00111000001001
3102212121020112100
422021330320021
5322104141214
624523504013
74136133024
oct1211747011
9385536470
10170380809
11881a2695
1249088009
13293b6761
14188b21bb
15ee58309
hexa27ce09

170380809 has 27 divisors (see below), whose sum is σ = 260879463. Its totient is φ = 107139024.

The previous prime is 170380751. The next prime is 170380831. The reversal of 170380809 is 908083071.

The square root of 170380809 is 13053.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 158684409 + 11696400 = 12597^2 + 3420^2 .

It is not a de Polignac number, because 170380809 - 219 = 169856521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (170380009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 743907 + ... + 744135.

Almost surely, 2170380809 is an apocalyptic number.

170380809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

170380809 is the 13053-rd square number.

170380809 is the 6527-th centered octagonal number.

It is an amenable number.

170380809 is a deficient number, since it is larger than the sum of its proper divisors (90498654).

170380809 is an equidigital number, since it uses as much as digits as its factorization.

170380809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 170380809 is about 554.3791547949.

Multiplying 170380809 by its sum of digits (36), we get a square (6133709124 = 783182).

The spelling of 170380809 in words is "one hundred seventy million, three hundred eighty thousand, eight hundred nine".

Divisors: 1 3 9 19 57 171 229 361 687 1083 2061 3249 4351 13053 39159 52441 82669 157323 248007 471969 744021 996379 2989137 8967411 18931201 56793603 170380809