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18714240 = 27345192
BaseRepresentation
bin100011101100…
…0111010000000
31022012210010000
41013120322000
514242323430
61505040000
7315032316
oct107307200
938183100
1018714240
11a622316
126326000
133b5311c
1426b20b6
151999e60
hex11d8e80

18714240 has 240 divisors, whose sum is σ = 70534530. Its totient is φ = 4727808.

The previous prime is 18714233. The next prime is 18714253. The reversal of 18714240 is 4241781.

It can be written as a sum of positive squares in only one way, i.e., 16842816 + 1871424 = 4104^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 984951 + ... + 984969.

Almost surely, 218714240 is an apocalyptic number.

18714240 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 18714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35267265).

18714240 is an abundant number, since it is smaller than the sum of its proper divisors (51820290).

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

18714240 is an equidigital number, since it uses as much as digits as its factorization.

18714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 18714240 is about 4325.9958391103. The cubic root of 18714240 is about 265.4956429430.

The spelling of 18714240 in words is "eighteen million, seven hundred fourteen thousand, two hundred forty".