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135760105 = 5133975261
BaseRepresentation
bin10000001011110…
…00100011101001
3100110110022212001
420011320203221
5234223310410
621245451001
73235641025
oct1005704351
9313408761
10135760105
116a6a6638
1239570a61
1322184530
141405d385
15bdba33a
hex81788e9

135760105 has 16 divisors (see below), whose sum is σ = 175919184. Its totient is φ = 99982080.

The previous prime is 135760103. The next prime is 135760109. The reversal of 135760105 is 501067531.

It can be written as a sum of positive squares in 8 ways, for example, as 363609 + 135396496 = 603^2 + 11636^2 .

It is not a de Polignac number, because 135760105 - 21 = 135760103 is a prime.

It is a super-2 number, since 2×1357601052 = 36861612219222050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135760103) 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, 23175 + ... + 28435.

It is an arithmetic number, because the mean of its divisors is an integer number (10994949).

Almost surely, 2135760105 is an apocalyptic number.

It is an amenable number.

135760105 is a deficient number, since it is larger than the sum of its proper divisors (40159079).

135760105 is a wasteful number, since it uses less digits than its factorization.

135760105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 135760105 is about 11651.6138367181. The cubic root of 135760105 is about 513.9537687983.

The spelling of 135760105 in words is "one hundred thirty-five million, seven hundred sixty thousand, one hundred five".

Divisors: 1 5 13 65 397 1985 5161 5261 25805 26305 68393 341965 2088617 10443085 27152021 135760105