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173768085 = 3855297
BaseRepresentation
bin10100101101101…
…11110110010101
3110002222100000000
422112313312111
5323441034320
625124241513
74210001331
oct1226676625
9402870000
10173768085
118a0a6597
124a240299
132a00146a
14191147c1
15103c6c90
hexa5b7d95

173768085 has 36 divisors (see below), whose sum is σ = 312825708. Its totient is φ = 92658816.

The previous prime is 173768083. The next prime is 173768093. The reversal of 173768085 is 580867371.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 69605649 = 10206^2 + 8343^2 .

It is not a de Polignac number, because 173768085 - 21 = 173768083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 173768085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173768083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30157 + ... + 35453.

It is an arithmetic number, because the mean of its divisors is an integer number (8689603).

Almost surely, 2173768085 is an apocalyptic number.

173768085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

173768085 is a deficient number, since it is larger than the sum of its proper divisors (139057623).

173768085 is an frugal number, since it uses more digits than its factorization.

173768085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 173768085 is about 13182.1123117655. The cubic root of 173768085 is about 558.0288746765.

The spelling of 173768085 in words is "one hundred seventy-three million, seven hundred sixty-eight thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 2187 3645 5297 6561 10935 15891 26485 32805 47673 79455 143019 238365 429057 715095 1287171 2145285 3861513 6435855 11584539 19307565 34753617 57922695 173768085