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199136 = 2572127
BaseRepresentation
bin110000100111100000
3101010011102
4300213200
522333021
64133532
71456400
oct604740
9333142
10199136
11126683
12972a8
136c842
1452800
153e00b
hex309e0

199136 has 36 divisors (see below), whose sum is σ = 459648. Its totient is φ = 84672.

The previous prime is 199109. The next prime is 199151. The reversal of 199136 is 631991.

It is a junction number, because it is equal to n+sod(n) for n = 199099 and 199108.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199136.

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 5 ways as a sum of consecutive naturals, for example, 1505 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2199136 is an apocalyptic number.

199136 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 199136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

199136 is an abundant number, since it is smaller than the sum of its proper divisors (260512).

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

199136 is a wasteful number, since it uses less digits than its factorization.

199136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its digits is 1458, while the sum is 29.

The square root of 199136 is about 446.2465686143. The cubic root of 199136 is about 58.3960214967.

The spelling of 199136 in words is "one hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 127 196 224 254 392 508 784 889 1016 1568 1778 2032 3556 4064 6223 7112 12446 14224 24892 28448 49784 99568 199136