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135760471 = 7114143003
BaseRepresentation
bin10000001011110…
…00101001010111
3100110110100100121
420011320221113
5234223313341
621245452411
73235642060
oct1005705127
9313410317
10135760471
116a6a6940
1239571107
1322184752
141405d567
15bdba4d1
hex8178a57

135760471 has 16 divisors (see below), whose sum is σ = 173392128. Its totient is φ = 103204800.

The previous prime is 135760459. The next prime is 135760483. The reversal of 135760471 is 174067531.

It is an interprime number because it is at equal distance from previous prime (135760459) and next prime (135760483).

It is a cyclic number.

It is not a de Polignac number, because 135760471 - 27 = 135760343 is a prime.

It is a super-3 number, since 3×1357604713 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135760411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18345 + ... + 24658.

It is an arithmetic number, because the mean of its divisors is an integer number (10837008).

Almost surely, 2135760471 is an apocalyptic number.

135760471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135760471 is a deficient number, since it is larger than the sum of its proper divisors (37631657).

135760471 is a wasteful number, since it uses less digits than its factorization.

135760471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43062.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 135760471 is about 11651.6295426863. The cubic root of 135760471 is about 513.9542306594.

The spelling of 135760471 in words is "one hundred thirty-five million, seven hundred sixty thousand, four hundred seventy-one".

Divisors: 1 7 11 41 77 287 451 3157 43003 301021 473033 1763123 3311231 12341861 19394353 135760471