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135528020 = 22529233669
BaseRepresentation
bin10000001001111…
…11111001010100
3100110000112111022
420010333321110
5234143344040
621240500312
73233653265
oct1004777124
9313015438
10135528020
116a558231
123947a698
13221029c4
1413ddc96c
15bd716b5
hex813fe54

135528020 has 24 divisors (see below), whose sum is σ = 294424200. Its totient is φ = 52341632.

The previous prime is 135527999. The next prime is 135528079. The reversal of 135528020 is 20825531.

135528020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30096196 + 105431824 = 5486^2 + 10268^2 .

It is a congruent number.

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, 116255 + ... + 117414.

It is an arithmetic number, because the mean of its divisors is an integer number (12267675).

Almost surely, 2135528020 is an apocalyptic number.

135528020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135528020 is an abundant number, since it is smaller than the sum of its proper divisors (158896180).

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

135528020 is a wasteful number, since it uses less digits than its factorization.

135528020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233707 (or 233705 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 135528020 is about 11641.6502266646. The cubic root of 135528020 is about 513.6607298474.

The spelling of 135528020 in words is "one hundred thirty-five million, five hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 233669 467338 934676 1168345 2336690 4673380 6776401 13552802 27105604 33882005 67764010 135528020