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199716 = 223111789
BaseRepresentation
bin110000110000100100
3101010221220
4300300210
522342331
64140340
71461156
oct606044
9333856
10199716
11127060
12976b0
136cb9a
1452ad6
153e296
hex30c24

199716 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 56320.

The previous prime is 199697. The next prime is 199721. The reversal of 199716 is 617991.

199716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2199716 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 199716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

199716 is an abundant number, since it is smaller than the sum of its proper divisors (344604).

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

199716 is a wasteful number, since it uses less digits than its factorization.

199716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its digits is 3402, while the sum is 33.

The square root of 199716 is about 446.8959610469. The cubic root of 199716 is about 58.4526609505.

The spelling of 199716 in words is "one hundred ninety-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 89 102 132 178 187 204 267 356 374 534 561 748 979 1068 1122 1513 1958 2244 2937 3026 3916 4539 5874 6052 9078 11748 16643 18156 33286 49929 66572 99858 199716