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136314 = 2327573
BaseRepresentation
bin100001010001111010
320220222200
4201101322
513330224
62531030
71105263
oct412172
9226880
10136314
1193462
1266a76
134a079
143796a
152a5c9
hex2147a

136314 has 12 divisors (see below), whose sum is σ = 295386. Its totient is φ = 45432.

The previous prime is 136309. The next prime is 136319. The reversal of 136314 is 413631.

It is an interprime number because it is at equal distance from previous prime (136309) and next prime (136319).

It can be written as a sum of positive squares in only one way, i.e., 71289 + 65025 = 267^2 + 255^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7573 = 136314 / (1 + 3 + 6 + 3 + 1 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136314.

It is not an unprimeable number, because it can be changed into a prime (136319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3769 + ... + 3804.

2136314 is an apocalyptic number.

136314 is an abundant number, since it is smaller than the sum of its proper divisors (159072).

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

136314 is a wasteful number, since it uses less digits than its factorization.

136314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7581 (or 7578 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 136314 is about 369.2072588669. The cubic root of 136314 is about 51.4651789625.

Adding to 136314 its reverse (413631), we get a palindrome (549945).

It can be divided in two parts, 1 and 36314, that added together give a triangular number (36315 = T269).

The spelling of 136314 in words is "one hundred thirty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 7573 15146 22719 45438 68157 136314