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199704 = 23353157
BaseRepresentation
bin110000110000011000
3101010221110
4300300120
522342304
64140320
71461141
oct606030
9333843
10199704
1112704a
12976a0
136cb8b
1452ac8
153e289
hex30c18

199704 has 32 divisors (see below), whose sum is σ = 511920. Its totient is φ = 64896.

The previous prime is 199697. The next prime is 199721. The reversal of 199704 is 407991.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

199704 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 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 1350.

2199704 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 199704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255960).

199704 is an abundant number, since it is smaller than the sum of its proper divisors (312216).

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

199704 is a wasteful number, since it uses less digits than its factorization.

199704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 199704 is about 446.8825349015. The cubic root of 199704 is about 58.4514902114.

It can be divided in two parts, 199 and 704, that added together give a triangular number (903 = T42).

The spelling of 199704 in words is "one hundred ninety-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 157 159 212 314 318 424 471 628 636 942 1256 1272 1884 3768 8321 16642 24963 33284 49926 66568 99852 199704