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135408015 = 32523130829
BaseRepresentation
bin10000001001000…
…10100110001111
3100102210102212200
420010202212033
5234131024030
621234132543
73232643361
oct1004424617
9312712780
10135408015
116a486056
1239421153
13220901b2
1413daad31
15bd4ad60
hex812298f

135408015 has 24 divisors (see below), whose sum is σ = 244913760. Its totient is φ = 69077184.

The previous prime is 135408011. The next prime is 135408029. The reversal of 135408015 is 510804531.

135408015 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 135408015 - 22 = 135408011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135408015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135408011) 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 23 ways as a sum of consecutive naturals, for example, 64380 + ... + 66449.

It is an arithmetic number, because the mean of its divisors is an integer number (10204740).

Almost surely, 2135408015 is an apocalyptic number.

135408015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135408015 is a deficient number, since it is larger than the sum of its proper divisors (109505745).

135408015 is a wasteful number, since it uses less digits than its factorization.

135408015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130863 (or 130860 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135408015 is about 11636.4949619720. The cubic root of 135408015 is about 513.5090759467.

The spelling of 135408015 in words is "one hundred thirty-five million, four hundred eight thousand, fifteen".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 130829 392487 654145 1177461 1962435 3009067 5887305 9027201 15045335 27081603 45136005 135408015