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13242240 = 2732511219
BaseRepresentation
bin110010100000…
…111110000000
3220220202221100
4302200332000
511342222430
61151454400
7220362054
oct62407600
926822840
1013242240
117525100
124527400
13298855b
141a89c64
151268960
hexca0f80

13242240 has 288 divisors, whose sum is σ = 52907400. Its totient is φ = 3041280.

The previous prime is 13242199. The next prime is 13242253. The reversal of 13242240 is 4224231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696951 + ... + 696969.

Almost surely, 213242240 is an apocalyptic number.

13242240 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 13242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26453700).

13242240 is an abundant number, since it is smaller than the sum of its proper divisors (39665160).

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

13242240 is a wasteful number, since it uses less digits than its factorization.

13242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13242240 is about 3638.9888705518. The cubic root of 13242240 is about 236.5849703693.

Adding to 13242240 its reverse (4224231), we get a palindrome (17466471).

Subtracting from 13242240 its reverse (4224231), we obtain a square (9018009 = 30032).

The spelling of 13242240 in words is "thirteen million, two hundred forty-two thousand, two hundred forty".