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18066240 = 263451741
BaseRepresentation
bin100010011101…
…0101101000000
31020222212020000
41010322231000
514111104430
61443120000
7306363153
oct104725500
936885200
1018066240
11a21a485
126073000
1339871aa
142583c9a
1518bce60
hex113ab40

18066240 has 280 divisors, whose sum is σ = 69704712. Its totient is φ = 4423680.

The previous prime is 18066229. The next prime is 18066241. The reversal of 18066240 is 4266081.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 17438976 = 792^2 + 4176^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18066241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440620 + ... + 440660.

Almost surely, 218066240 is an apocalyptic number.

18066240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34852356).

18066240 is an abundant number, since it is smaller than the sum of its proper divisors (51638472).

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

18066240 is a wasteful number, since it uses less digits than its factorization.

18066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 18066240 is about 4250.4399772259. The cubic root of 18066240 is about 262.3952234903.

The spelling of 18066240 in words is "eighteen million, sixty-six thousand, two hundred forty".