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213696 = 2632753
BaseRepresentation
bin110100001011000000
3101212010200
4310023000
523314241
64325200
71550010
oct641300
9355120
10213696
1113660a
12a3800
1376362
1457c40
15434b6
hex342c0

213696 has 84 divisors (see below), whose sum is σ = 713232. Its totient is φ = 59904.

The previous prime is 213659. The next prime is 213713. The reversal of 213696 is 696312.

It can be divided in two parts, 213 and 696, that added together give a palindrome (909).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is an unprimeable number.

213696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4006 + ... + 4058.

2213696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616).

213696 is an abundant number, since it is smaller than the sum of its proper divisors (499536).

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

213696 is a wasteful number, since it uses less digits than its factorization.

213696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 213696 is about 462.2726468222. The cubic root of 213696 is about 59.7859036210.

The spelling of 213696 in words is "two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 64 72 84 96 106 112 126 144 159 168 192 212 224 252 288 318 336 371 424 448 477 504 576 636 672 742 848 954 1008 1113 1272 1344 1484 1696 1908 2016 2226 2544 2968 3339 3392 3816 4032 4452 5088 5936 6678 7632 8904 10176 11872 13356 15264 17808 23744 26712 30528 35616 53424 71232 106848 213696