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135440580 = 223511205213
BaseRepresentation
bin10000001001010…
…10100011000100
3100102212002112210
420010222203010
5234133044310
621234543420
73233140332
oct1004524304
9312762483
10135440580
116a4a8570
1239437b70
13220a1c72
1413db8b52
15bd55820
hex812a8c4

135440580 has 48 divisors (see below), whose sum is σ = 413711424. Its totient is φ = 32833920.

The previous prime is 135440579. The next prime is 135440587. The reversal of 135440580 is 85044531.

135440580 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 (30).

It is not an unprimeable number, because it can be changed into a prime (135440587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101947 + ... + 103266.

It is an arithmetic number, because the mean of its divisors is an integer number (8618988).

Almost surely, 2135440580 is an apocalyptic number.

135440580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135440580 is an abundant number, since it is smaller than the sum of its proper divisors (278270844).

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

135440580 is a wasteful number, since it uses less digits than its factorization.

135440580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205236 (or 205234 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 135440580 is about 11637.8941394051. The cubic root of 135440580 is about 513.5502381646.

The spelling of 135440580 in words is "one hundred thirty-five million, four hundred forty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 205213 410426 615639 820852 1026065 1231278 2052130 2257343 2462556 3078195 4104260 4514686 6156390 6772029 9029372 11286715 12312780 13544058 22573430 27088116 33860145 45146860 67720290 135440580