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180242286 = 23725910391
BaseRepresentation
bin10101011111001…
…00011101101110
3110120011020221020
422233210131232
5332120223121
625515115010
74316014500
oct1257443556
9416136836
10180242286
1192818774
1250442a66
132b45a253
1419d1bd70
1510c551c6
hexabe476e

180242286 has 48 divisors (see below), whose sum is σ = 426487680. Its totient is φ = 50620080.

The previous prime is 180242267. The next prime is 180242287. The reversal of 180242286 is 682242081.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180242287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12151 + ... + 22541.

It is an arithmetic number, because the mean of its divisors is an integer number (8885160).

Almost surely, 2180242286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180242286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213243840).

180242286 is an abundant number, since it is smaller than the sum of its proper divisors (246245394).

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

180242286 is a wasteful number, since it uses less digits than its factorization.

180242286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 180242286 is about 13425.4342946513. The cubic root of 180242286 is about 564.8748369211.

The spelling of 180242286 in words is "one hundred eighty million, two hundred forty-two thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 1239 2478 2891 5782 8673 10391 17346 20782 31173 62346 72737 145474 218211 436422 509159 613069 1018318 1226138 1527477 1839207 3054954 3678414 4291483 8582966 12874449 25748898 30040381 60080762 90121143 180242286