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199032 = 2338293
BaseRepresentation
bin110000100101111000
3101010000120
4300211320
522332112
64133240
71456161
oct604570
9333016
10199032
11126599
1297220
136c792
1452768
153de8c
hex30978

199032 has 16 divisors (see below), whose sum is σ = 497640. Its totient is φ = 66336.

The previous prime is 199021. The next prime is 199033. The reversal of 199032 is 230991.

It is a happy number.

It is a super-2 number, since 2×1990322 = 79227474048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8293 = 199032 / (1 + 9 + 9 + 0 + 3 + 2).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 198993 and 199011.

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 199032.

It is not an unprimeable number, because it can be changed into a prime (199033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4123 + ... + 4170.

2199032 is an apocalyptic number.

199032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199032 is an abundant number, since it is smaller than the sum of its proper divisors (298608).

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

199032 is a wasteful number, since it uses less digits than its factorization.

199032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 199032 is about 446.1300258893. The cubic root of 199032 is about 58.3858538327.

The spelling of 199032 in words is "one hundred ninety-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 8293 16586 24879 33172 49758 66344 99516 199032