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135905067 = 3350310007
BaseRepresentation
bin10000001100110…
…11111100101011
3100110201200201000
420012123330223
5234242430232
621252530043
73240113454
oct1006337453
9313650630
10135905067
116a795541
1239620923
13222054cc
141409a12b
15bde827c
hex819bf2b

135905067 has 16 divisors (see below), whose sum is σ = 201761280. Its totient is φ = 90414216.

The previous prime is 135905039. The next prime is 135905083. The reversal of 135905067 is 760509531.

It is a happy number.

135905067 is a `hidden beast` number, since 1 + 3 + 590 + 5 + 0 + 67 = 666.

It is not a de Polignac number, because 135905067 - 212 = 135900971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135905017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8578 + ... + 18584.

It is an arithmetic number, because the mean of its divisors is an integer number (12610080).

Almost surely, 2135905067 is an apocalyptic number.

135905067 is a deficient number, since it is larger than the sum of its proper divisors (65856213).

135905067 is a wasteful number, since it uses less digits than its factorization.

135905067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 135905067 is about 11657.8328603562. The cubic root of 135905067 is about 514.1366336738.

The spelling of 135905067 in words is "one hundred thirty-five million, nine hundred five thousand, sixty-seven".

Divisors: 1 3 9 27 503 1509 4527 10007 13581 30021 90063 270189 5033521 15100563 45301689 135905067