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180680 = 2354517
BaseRepresentation
bin101100000111001000
3100011211212
4230013020
521240210
63512252
71351523
oct540710
9304755
10180680
11113825
1288688
1364316
1449bba
1538805
hex2c1c8

180680 has 16 divisors (see below), whose sum is σ = 406620. Its totient is φ = 72256.

The previous prime is 180679. The next prime is 180701. The reversal of 180680 is 86081.

180680 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 148996 + 31684 = 386^2 + 178^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2219 + ... + 2298.

2180680 is an apocalyptic number.

180680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180680 is an abundant number, since it is smaller than the sum of its proper divisors (225940).

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

180680 is a wasteful number, since it uses less digits than its factorization.

180680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 180680 is about 425.0647009574. The cubic root of 180680 is about 56.5331728863.

The spelling of 180680 in words is "one hundred eighty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 4517 9034 18068 22585 36136 45170 90340 180680