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135482580 = 22325752681
BaseRepresentation
bin10000001001101…
…00110011010100
3100102221020011100
420010310303110
5234140420310
621235510100
73233403642
oct1004646324
9312836140
10135482580
116a527082
1239458330
13220b810c
1413dca192
15bd62ec0
hex8134cd4

135482580 has 36 divisors (see below), whose sum is σ = 410964372. Its totient is φ = 36128640.

The previous prime is 135482569. The next prime is 135482731. The reversal of 135482580 is 85284531.

It is a happy number.

135482580 is a `hidden beast` number, since 1 + 35 + 48 + 2 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 105144516 = 5508^2 + 10254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 376161 + ... + 376520.

It is an arithmetic number, because the mean of its divisors is an integer number (11415677).

Almost surely, 2135482580 is an apocalyptic number.

135482580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135482580 is an abundant number, since it is smaller than the sum of its proper divisors (275481792).

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

135482580 is a wasteful number, since it uses less digits than its factorization.

135482580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752696 (or 752691 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 135482580 is about 11639.6984497022. The cubic root of 135482580 is about 513.6033164982.

The spelling of 135482580 in words is "one hundred thirty-five million, four hundred eighty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 752681 1505362 2258043 3010724 3763405 4516086 6774129 7526810 9032172 11290215 13548258 15053620 22580430 27096516 33870645 45160860 67741290 135482580