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180768025 = 5226892
BaseRepresentation
bin10101100011001…
…00110100011001
3110121010222010001
422301210310121
5332234034100
625534253001
74323334324
oct1261446431
9417128101
10180768025
1193047769
1250657161
132b5b2639
141a0177bb
1510d0ad6a
hexac64d19

180768025 has 9 divisors (see below), whose sum is σ = 224235741. Its totient is φ = 144560640.

The previous prime is 180768023. The next prime is 180768041. The reversal of 180768025 is 520867081.

The square root of 180768025 is 13445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 81486729 + 99281296 = 9027^2 + 9964^2 .

It is not a de Polignac number, because 180768025 - 21 = 180768023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180768023) 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 8 ways as a sum of consecutive naturals, for example, 65881 + ... + 68569.

Almost surely, 2180768025 is an apocalyptic number.

180768025 is the 13445-th square number.

180768025 is the 6723-rd centered octagonal number.

It is an amenable number.

180768025 is a deficient number, since it is larger than the sum of its proper divisors (43467716).

180768025 is an frugal number, since it uses more digits than its factorization.

180768025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The cubic root of 180768025 is about 565.4235214360.

The spelling of 180768025 in words is "one hundred eighty million, seven hundred sixty-eight thousand, twenty-five".

Divisors: 1 5 25 2689 13445 67225 7230721 36153605 180768025