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135829785 = 35713151659
BaseRepresentation
bin10000001100010…
…01100100011001
3100110120212102210
420012021210121
5234233023120
621251145333
73236351130
oct1006114431
9313525383
10135829785
116a743a23
12395a5249
13221aa170
141407a917
15bdd0ce0
hex8189919

135829785 has 64 divisors (see below), whose sum is σ = 269660160. Its totient is φ = 56851200.

The previous prime is 135829783. The next prime is 135829787. The reversal of 135829785 is 587928531.

It is an interprime number because it is at equal distance from previous prime (135829783) and next prime (135829787).

It is not a de Polignac number, because 135829785 - 21 = 135829783 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135829781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205786 + ... + 206444.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2135829785 is an apocalyptic number.

135829785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135829785 is a deficient number, since it is larger than the sum of its proper divisors (133830375).

135829785 is a wasteful number, since it uses less digits than its factorization.

135829785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838.

The product of its digits is 604800, while the sum is 48.

The square root of 135829785 is about 11654.6035968625. The cubic root of 135829785 is about 514.0416841040.

The spelling of 135829785 in words is "one hundred thirty-five million, eight hundred twenty-nine thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 151 195 273 453 455 659 755 1057 1365 1963 1977 2265 3171 3295 4613 5285 5889 8567 9815 9885 13741 13839 15855 23065 25701 29445 41223 42835 59969 68705 69195 99509 128505 179907 206115 298527 299845 497545 696563 899535 1293617 1492635 2089689 3482815 3880851 6468085 9055319 10448445 19404255 27165957 45276595 135829785