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135041673 = 31331111697
BaseRepresentation
bin10000000110010…
…01001010001001
3100102002211100110
420003021022021
5234032313143
621222224533
73226556334
oct1003111211
9312084313
10135041673
116a255898
1239285149
1321c92520
1413d1361b
15bcc7533
hex80c9289

135041673 has 16 divisors (see below), whose sum is σ = 200162816. Its totient is φ = 80421120.

The previous prime is 135041663. The next prime is 135041677. The reversal of 135041673 is 376140531.

It is not a de Polignac number, because 135041673 - 26 = 135041609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135041673.

It is not an unprimeable number, because it can be changed into a prime (135041677) 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, 54640 + ... + 57057.

It is an arithmetic number, because the mean of its divisors is an integer number (12510176).

Almost surely, 2135041673 is an apocalyptic number.

135041673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135041673 is a deficient number, since it is larger than the sum of its proper divisors (65121143).

135041673 is a wasteful number, since it uses less digits than its factorization.

135041673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111744.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 135041673 is about 11620.7432206378. The cubic root of 135041673 is about 513.0455636301.

The spelling of 135041673 in words is "one hundred thirty-five million, forty-one thousand, six hundred seventy-three".

Divisors: 1 3 13 31 39 93 403 1209 111697 335091 1452061 3462607 4356183 10387821 45013891 135041673