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135024100 = 22523736493
BaseRepresentation
bin10000000110001…
…00110111100100
3100102001221020121
420003010313210
5234031232400
621222011324
73226454161
oct1003046744
9312057217
10135024100
116a243672
1239276b44
1321c87523
1413d0b068
15bcc221a
hex80c4de4

135024100 has 36 divisors (see below), whose sum is σ = 300929524. Its totient is φ = 52548480.

The previous prime is 135024083. The next prime is 135024101. The reversal of 135024100 is 1420531.

It can be written as a sum of positive squares in 6 ways, for example, as 6110784 + 128913316 = 2472^2 + 11354^2 .

It is not an unprimeable number, because it can be changed into a prime (135024101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14547 + ... + 21946.

Almost surely, 2135024100 is an apocalyptic number.

135024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135024100 is an abundant number, since it is smaller than the sum of its proper divisors (165905424).

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

135024100 is a wasteful number, since it uses less digits than its factorization.

135024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36544 (or 36537 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 135024100 is about 11619.9870912149. The cubic root of 135024100 is about 513.0233084240.

Adding to 135024100 its reverse (1420531), we get a palindrome (136444631).

The spelling of 135024100 in words is "one hundred thirty-five million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 36493 72986 145972 182465 364930 729860 912325 1350241 1824650 2700482 3649300 5400964 6751205 13502410 27004820 33756025 67512050 135024100