Search a number
-
+
180807705 = 325131916267
BaseRepresentation
bin10101100011011…
…10100000011001
3110121012222112200
422301232200121
5332241321310
625535200413
74323561111
oct1261564031
9417188480
10180807705
1193074561
1250676109
132b5c7710
141a028041
1510d179c0
hexac6e819

180807705 has 48 divisors (see below), whose sum is σ = 355293120. Its totient is φ = 84322944.

The previous prime is 180807703. The next prime is 180807773. The reversal of 180807705 is 507708081.

It is not a de Polignac number, because 180807705 - 21 = 180807703 is a prime.

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 180807705.

It is not an unprimeable number, because it can be changed into a prime (180807701) 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 47 ways as a sum of consecutive naturals, for example, 2982 + ... + 19248.

It is an arithmetic number, because the mean of its divisors is an integer number (7401940).

Almost surely, 2180807705 is an apocalyptic number.

180807705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180807705 is a deficient number, since it is larger than the sum of its proper divisors (174485415).

180807705 is a wasteful number, since it uses less digits than its factorization.

180807705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16310 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 180807705 is about 13446.4755605326. The cubic root of 180807705 is about 565.4648900425.

The spelling of 180807705 in words is "one hundred eighty million, eight hundred seven thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 585 741 855 1235 2223 3705 11115 16267 48801 81335 146403 211471 244005 309073 634413 732015 927219 1057355 1545365 1903239 2781657 3172065 4017949 4636095 9516195 12053847 13908285 20089745 36161541 60269235 180807705