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199056 = 243111329
BaseRepresentation
bin110000100110010000
3101010001110
4300212100
522332211
64133320
71456224
oct604620
9333043
10199056
11126610
1297240
136c7b0
1452784
153dea6
hex30990

199056 has 80 divisors (see below), whose sum is σ = 624960. Its totient is φ = 53760.

The previous prime is 199049. The next prime is 199081. The reversal of 199056 is 650991.

It is a super-2 number, since 2×1990562 = 79246582272, which contains 22 as substring.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6850 + ... + 6878.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2199056 is an apocalyptic number.

199056 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 199056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

199056 is an abundant number, since it is smaller than the sum of its proper divisors (425904).

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

199056 is a wasteful number, since it uses less digits than its factorization.

199056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 199056 is about 446.1569230663. The cubic root of 199056 is about 58.3882005310.

The spelling of 199056 in words is "one hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 29 33 39 44 48 52 58 66 78 87 88 104 116 132 143 156 174 176 208 232 264 286 312 319 348 377 429 464 528 572 624 638 696 754 858 957 1131 1144 1276 1392 1508 1716 1914 2262 2288 2552 3016 3432 3828 4147 4524 5104 6032 6864 7656 8294 9048 12441 15312 16588 18096 24882 33176 49764 66352 99528 199056