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135215300 = 225211831481
BaseRepresentation
bin10000000111100…
…11100011000100
3100102102122112002
420003303203010
5234103342200
621230044432
73231211463
oct1003634304
9312378462
10135215300
116a364290
1239349718
132202356c
1413d5a9da
15bd0dbd5
hex80f38c4

135215300 has 72 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 48544000.

The previous prime is 135215293. The next prime is 135215303. The reversal of 135215300 is 3512531.

135215300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (135215303) 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 23 ways as a sum of consecutive naturals, for example, 90560 + ... + 92040.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2135215300 is an apocalyptic number.

135215300 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 135215300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

135215300 is an abundant number, since it is smaller than the sum of its proper divisors (188951452).

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

135215300 is a wasteful number, since it uses less digits than its factorization.

135215300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 135215300 is about 11628.2113843875. The cubic root of 135215300 is about 513.2653486549.

Adding to 135215300 its reverse (3512531), we get a palindrome (138727831).

The spelling of 135215300 in words is "one hundred thirty-five million, two hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 830 913 1100 1481 1660 1826 2075 2962 3652 4150 4565 5924 7405 8300 9130 14810 16291 18260 22825 29620 32582 37025 45650 65164 74050 81455 91300 122923 148100 162910 245846 325820 407275 491692 614615 814550 1229230 1352153 1629100 2458460 2704306 3073075 5408612 6146150 6760765 12292300 13521530 27043060 33803825 67607650 135215300