Search a number
-
+
180604141 = 1729379901
BaseRepresentation
bin10101100001111…
…00110011101101
3110120211122022021
422300330303231
5332213313031
625530550141
74322052454
oct1260746355
9416748267
10180604141
1192a45623
1250598351
132b555b73
1419db3b9b
1510cc7511
hexac3cced

180604141 has 16 divisors (see below), whose sum is σ = 203189040. Its totient is φ = 159667200.

The previous prime is 180604111. The next prime is 180604147. The reversal of 180604141 is 141406081.

It can be written as a sum of positive squares in 8 ways, for example, as 71318025 + 109286116 = 8445^2 + 10454^2 .

It is a cyclic number.

It is not a de Polignac number, because 180604141 - 27 = 180604013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180604147) 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, 13291 + ... + 23191.

It is an arithmetic number, because the mean of its divisors is an integer number (12699315).

Almost surely, 2180604141 is an apocalyptic number.

It is an amenable number.

180604141 is a deficient number, since it is larger than the sum of its proper divisors (22584899).

180604141 is a wasteful number, since it uses less digits than its factorization.

180604141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 180604141 is about 13438.9040103723. The cubic root of 180604141 is about 565.2525990886.

It can be divided in two parts, 18060 and 4141, that added together give a square (22201 = 1492).

The spelling of 180604141 in words is "one hundred eighty million, six hundred four thousand, one hundred forty-one".

Divisors: 1 17 29 37 493 629 1073 9901 18241 168317 287129 366337 4881193 6227729 10623773 180604141