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135306340 = 22513520409
BaseRepresentation
bin10000001000010…
…01110001100100
3100102121021101221
420010021301210
5234114300330
621232030124
73232041061
oct1004116144
9312537357
10135306340
116a416724
1239392344
1322055b30
1413d81c68
15bd2ab7a
hex8109c64

135306340 has 24 divisors (see below), whose sum is σ = 306001080. Its totient is φ = 49959168.

The previous prime is 135306331. The next prime is 135306341. The reversal of 135306340 is 43603531.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 135303424 = 54^2 + 11632^2 .

It is not an unprimeable number, because it can be changed into a prime (135306341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259945 + ... + 260464.

It is an arithmetic number, because the mean of its divisors is an integer number (12750045).

Almost surely, 2135306340 is an apocalyptic number.

135306340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135306340 is an abundant number, since it is smaller than the sum of its proper divisors (170694740).

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

135306340 is a wasteful number, since it uses less digits than its factorization.

135306340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520431 (or 520429 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 135306340 is about 11632.1253432036. The cubic root of 135306340 is about 513.3805160806.

Adding to 135306340 its reverse (43603531), we get a palindrome (178909871).

The spelling of 135306340 in words is "one hundred thirty-five million, three hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 520409 1040818 2081636 2602045 5204090 6765317 10408180 13530634 27061268 33826585 67653170 135306340