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136816 = 2417503
BaseRepresentation
bin100001011001110000
320221200021
4201121300
513334231
62533224
71106611
oct413160
9227607
10136816
1193879
1267214
134a374
1437c08
152a811
hex21670

136816 has 20 divisors (see below), whose sum is σ = 281232. Its totient is φ = 64256.

The previous prime is 136813. The next prime is 136841. The reversal of 136816 is 618631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21 + ... + 523.

2136816 is an apocalyptic number.

136816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616).

136816 is an abundant number, since it is smaller than the sum of its proper divisors (144416).

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

136816 is a wasteful number, since it uses less digits than its factorization.

136816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 136816 is about 369.8864690686. The cubic root of 136816 is about 51.5282780572.

The spelling of 136816 in words is "one hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 503 1006 2012 4024 8048 8551 17102 34204 68408 136816