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135058820 = 22513519457
BaseRepresentation
bin10000000110011…
…01010110000100
3100102010200212112
420003031112010
5234033340240
621222440152
73226660331
oct1003152604
9312120775
10135058820
116a267766
1239293058
1321c9a280
1413d19988
15bccc665
hex80cd584

135058820 has 24 divisors (see below), whose sum is σ = 305441304. Its totient is φ = 49867776.

The previous prime is 135058813. The next prime is 135058831. The reversal of 135058820 is 28850531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4596736 + 130462084 = 2144^2 + 11422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259469 + ... + 259988.

It is an arithmetic number, because the mean of its divisors is an integer number (12726721).

Almost surely, 2135058820 is an apocalyptic number.

135058820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135058820 is an abundant number, since it is smaller than the sum of its proper divisors (170382484).

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

135058820 is a wasteful number, since it uses less digits than its factorization.

135058820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519479 (or 519477 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 135058820 is about 11621.4809727504. The cubic root of 135058820 is about 513.0672774704.

The spelling of 135058820 in words is "one hundred thirty-five million, fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 519457 1038914 2077828 2597285 5194570 6752941 10389140 13505882 27011764 33764705 67529410 135058820