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136422 = 232111353
BaseRepresentation
bin100001010011100110
320221010200
4201103212
513331142
62531330
71105506
oct412346
9227120
10136422
1193550
1266b46
134a130
1437a06
152a64c
hex214e6

136422 has 48 divisors (see below), whose sum is σ = 353808. Its totient is φ = 37440.

The previous prime is 136421. The next prime is 136429. The reversal of 136422 is 224631.

It is a happy number.

It is a super-2 number, since 2×1364222 = 37221924168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 136395 and 136404.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136422.

It is not an unprimeable number, because it can be changed into a prime (136421) 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, 2548 + ... + 2600.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2136422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

136422 is an abundant number, since it is smaller than the sum of its proper divisors (217386).

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

136422 is a wasteful number, since it uses less digits than its factorization.

136422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 136422 is about 369.3534892214. The cubic root of 136422 is about 51.4787671292.

Subtracting 136422 from its reverse (224631), we obtain a square (88209 = 2972).

The spelling of 136422 in words is "one hundred thirty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 53 66 78 99 106 117 143 159 198 234 286 318 429 477 583 689 858 954 1166 1287 1378 1749 2067 2574 3498 4134 5247 6201 7579 10494 12402 15158 22737 45474 68211 136422