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136824 = 2335701
BaseRepresentation
bin100001011001111000
320221200120
4201121320
513334244
62533240
71106622
oct413170
9227616
10136824
1193886
1267220
134a37c
1437c12
152a819
hex21678

136824 has 16 divisors (see below), whose sum is σ = 342120. Its totient is φ = 45600.

The previous prime is 136813. The next prime is 136841. The reversal of 136824 is 428631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5701 = 136824 / (1 + 3 + 6 + 8 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 136794 and 136803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2827 + ... + 2874.

2136824 is an apocalyptic number.

It is an amenable number.

136824 is an abundant number, since it is smaller than the sum of its proper divisors (205296).

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

136824 is a wasteful number, since it uses less digits than its factorization.

136824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710 (or 5706 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 136824 is about 369.8972830395. The cubic root of 136824 is about 51.5292823700.

The spelling of 136824 in words is "one hundred thirty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 5701 11402 17103 22804 34206 45608 68412 136824