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135738243 = 32311014817
BaseRepresentation
bin10000001011100…
…11001110000011
3100110102012212100
420011303032003
5234222110433
621245201443
73235520214
oct1005631603
9313365770
10135738243
116a691173
1239560283
13221775b4
141405540b
15bdb3b13
hex8173383

135738243 has 24 divisors (see below), whose sum is σ = 204437376. Its totient is φ = 86688000.

The previous prime is 135738233. The next prime is 135738257. The reversal of 135738243 is 342837531.

135738243 is a `hidden beast` number, since 1 + 3 + 573 + 82 + 4 + 3 = 666.

It is not a de Polignac number, because 135738243 - 24 = 135738227 is a prime.

It is a super-2 number, since 2×1357382432 = 36849741225454098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135738198 and 135738207.

It is not an unprimeable number, because it can be changed into a prime (135738233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25771 + ... + 30587.

It is an arithmetic number, because the mean of its divisors is an integer number (8518224).

Almost surely, 2135738243 is an apocalyptic number.

135738243 is a deficient number, since it is larger than the sum of its proper divisors (68699133).

135738243 is a wasteful number, since it uses less digits than its factorization.

135738243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4952 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 135738243 is about 11650.6756456439. The cubic root of 135738243 is about 513.9261792978.

It can be divided in two parts, 135738 and 243, that added together give a triangular number (135981 = T521).

The spelling of 135738243 in words is "one hundred thirty-five million, seven hundred thirty-eight thousand, two hundred forty-three".

Divisors: 1 3 9 31 93 101 279 303 909 3131 4817 9393 14451 28179 43353 149327 447981 486517 1343943 1459551 4378653 15082027 45246081 135738243