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135212240 = 2451690153
BaseRepresentation
bin10000000111100…
…10110011010000
3100102102111022202
420003302303100
5234103242430
621230022332
73231166532
oct1003626320
9312374282
10135212240
116a361a59
12393479a8
1322022057
1413d59852
15bd0cd45
hex80f2cd0

135212240 has 20 divisors (see below), whose sum is σ = 314368644. Its totient is φ = 54084864.

The previous prime is 135212221. The next prime is 135212257. The reversal of 135212240 is 42212531.

135212240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45265984 + 89946256 = 6728^2 + 9484^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 844997 + ... + 845156.

Almost surely, 2135212240 is an apocalyptic number.

135212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135212240 is an abundant number, since it is smaller than the sum of its proper divisors (179156404).

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

135212240 is a wasteful number, since it uses less digits than its factorization.

135212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690166 (or 1690160 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 135212240 is about 11628.0798070877. The cubic root of 135212240 is about 513.2614767957.

Adding to 135212240 its reverse (42212531), we get a palindrome (177424771).

The spelling of 135212240 in words is "one hundred thirty-five million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1690153 3380306 6760612 8450765 13521224 16901530 27042448 33803060 67606120 135212240