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199842 = 23191753
BaseRepresentation
bin110000110010100010
3101011010120
4300302202
522343332
64141110
71461426
oct606242
9334116
10199842
11127165
1297796
136cc66
1452b86
153e32c
hex30ca2

199842 has 16 divisors (see below), whose sum is σ = 420960. Its totient is φ = 63072.

The previous prime is 199831. The next prime is 199853. The reversal of 199842 is 248991.

It is an interprime number because it is at equal distance from previous prime (199831) and next prime (199853).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 763 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (26310).

2199842 is an apocalyptic number.

199842 is an abundant number, since it is smaller than the sum of its proper divisors (221118).

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

199842 is a wasteful number, since it uses less digits than its factorization.

199842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777.

The product of its digits is 5184, while the sum is 33.

The square root of 199842 is about 447.0369112277. The cubic root of 199842 is about 58.4649508804.

Subtracting from 199842 its sum of digits (33), we obtain a square (199809 = 4472).

The spelling of 199842 in words is "one hundred ninety-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 19 38 57 114 1753 3506 5259 10518 33307 66614 99921 199842