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135528180 = 22352258803
BaseRepresentation
bin10000001001111…
…11111011110100
3100110000112201020
420010333323310
5234143400210
621240501140
73233653614
oct1004777364
9313015636
10135528180
116a558367
123947a7b0
1322102ab8
1413ddca44
15bd71770
hex813fef4

135528180 has 24 divisors (see below), whose sum is σ = 379479072. Its totient is φ = 36140832.

The previous prime is 135528157. The next prime is 135528227. The reversal of 135528180 is 81825531.

It is a happy number.

It is a super-2 number, since 2×1355281802 = 36735775148224800, which contains 22 as substring.

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, 1129342 + ... + 1129461.

It is an arithmetic number, because the mean of its divisors is an integer number (15811628).

Almost surely, 2135528180 is an apocalyptic number.

135528180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135528180 is an abundant number, since it is smaller than the sum of its proper divisors (243950892).

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

135528180 is a wasteful number, since it uses less digits than its factorization.

135528180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258815 (or 2258813 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 135528180 is about 11641.6570985406. The cubic root of 135528180 is about 513.6609319844.

The spelling of 135528180 in words is "one hundred thirty-five million, five hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2258803 4517606 6776409 9035212 11294015 13552818 22588030 27105636 33882045 45176060 67764090 135528180