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180640 = 2551129
BaseRepresentation
bin101100000110100000
3100011210101
4230012200
521240030
63512144
71351435
oct540640
9304711
10180640
11113799
1288654
13642b5
1449b8c
15387ca
hex2c1a0

180640 has 24 divisors (see below), whose sum is σ = 427140. Its totient is φ = 72192.

The previous prime is 180629. The next prime is 180647. The reversal of 180640 is 46081.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 17424 = 404^2 + 132^2 .

It is an Ulam number.

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 405 + ... + 724.

2180640 is an apocalyptic number.

180640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180640 is an abundant number, since it is smaller than the sum of its proper divisors (246500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180640 is a wasteful number, since it uses less digits than its factorization.

180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 180640 is about 425.0176466925. The cubic root of 180640 is about 56.5290006964.

It can be divided in two parts, 180 and 640, that added together give a triangular number (820 = T40).

The spelling of 180640 in words is "one hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1129 2258 4516 5645 9032 11290 18064 22580 36128 45160 90320 180640