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135638388 = 2234418637
BaseRepresentation
bin10000001010110…
…10110101110100
3100110020010220000
420011122311310
5234210412023
621243111300
73234623124
oct1005326564
9313203800
10135638388
116a623146
1239512530
1322141002
141402ac84
15bd94243
hex815ad74

135638388 has 30 divisors (see below), whose sum is σ = 354586386. Its totient is φ = 45212688.

The previous prime is 135638341. The next prime is 135638389. The reversal of 135638388 is 883836531.

135638388 is a `hidden beast` number, since 1 + 3 + 5 + 638 + 3 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68856804 + 66781584 = 8298^2 + 8172^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135638389) 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 9 ways as a sum of consecutive naturals, for example, 208995 + ... + 209642.

Almost surely, 2135638388 is an apocalyptic number.

135638388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135638388 is an abundant number, since it is smaller than the sum of its proper divisors (218947998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135638388 is a wasteful number, since it uses less digits than its factorization.

135638388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418653 (or 418642 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 135638388 is about 11646.3894834408. The cubic root of 135638388 is about 513.8001261763.

The spelling of 135638388 in words is "one hundred thirty-five million, six hundred thirty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 418637 837274 1255911 1674548 2511822 3767733 5023644 7535466 11303199 15070932 22606398 33909597 45212796 67819194 135638388