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199908 = 2234617
BaseRepresentation
bin110000110011100100
3101011020000
4300303210
522344113
64141300
71461552
oct606344
9334200
10199908
11127215
1297830
136ccb7
1452bd2
153e373
hex30ce4

199908 has 30 divisors (see below), whose sum is σ = 523446. Its totient is φ = 66528.

The previous prime is 199889. The next prime is 199909. The reversal of 199908 is 809991.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 82944 = 342^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (199909) by changing a digit.

199908 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 9 ways as a sum of consecutive naturals, for example, 16 + ... + 632.

2199908 is an apocalyptic number.

199908 is a gapful number since it is divisible by the number (18) 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 199908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261723).

199908 is an abundant number, since it is smaller than the sum of its proper divisors (323538).

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

199908 is a wasteful number, since it uses less digits than its factorization.

199908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 199908 is about 447.1107245415. The cubic root of 199908 is about 58.4713864012.

The spelling of 199908 in words is "one hundred ninety-nine thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 617 1234 1851 2468 3702 5553 7404 11106 16659 22212 33318 49977 66636 99954 199908