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135924540 = 22357331033
BaseRepresentation
bin10000001101000…
…00101100111100
3100110202200102020
420012200230330
5234244041130
621253200140
73240224313
oct1006405474
9313680366
10135924540
116a7a9134
1239630050
132221132b
14140a327a
15bdede10
hex81a0b3c

135924540 has 48 divisors (see below), whose sum is σ = 385814688. Its totient is φ = 35748864.

The previous prime is 135924443. The next prime is 135924541. The reversal of 135924540 is 45429531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135924541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11137 + ... + 19896.

It is an arithmetic number, because the mean of its divisors is an integer number (8037806).

Almost surely, 2135924540 is an apocalyptic number.

135924540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135924540 is an abundant number, since it is smaller than the sum of its proper divisors (249890148).

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

135924540 is a wasteful number, since it uses less digits than its factorization.

135924540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31118 (or 31116 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 135924540 is about 11658.6680199755. The cubic root of 135924540 is about 514.1611883249.

The spelling of 135924540 in words is "one hundred thirty-five million, nine hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 31033 62066 93099 124132 155165 186198 310330 372396 465495 620660 930990 1861980 2265409 4530818 6796227 9061636 11327045 13592454 22654090 27184908 33981135 45308180 67962270 135924540