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190896 = 2434197
BaseRepresentation
bin101110100110110000
3100200212020
4232212300
522102041
64031440
71423356
oct564660
9320766
10190896
11120472
1292580
1368b74
144d7d6
153b866
hex2e9b0

190896 has 40 divisors (see below), whose sum is σ = 510384. Its totient is φ = 61440.

The previous prime is 190891. The next prime is 190901. The reversal of 190896 is 698091.

190896 = T23 + T24 + ... + T104.

It is a happy number.

190896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190891) and next prime (190901).

It is not an unprimeable number, because it can be changed into a prime (190891) by changing a digit.

190896 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 7 ways as a sum of consecutive naturals, for example, 1920 + ... + 2016.

2190896 is an apocalyptic number.

190896 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 190896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255192).

190896 is an abundant number, since it is smaller than the sum of its proper divisors (319488).

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

190896 is a wasteful number, since it uses less digits than its factorization.

190896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 190896 is about 436.9164679890. The cubic root of 190896 is about 57.5791977351.

The spelling of 190896 in words is "one hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 97 123 164 194 246 291 328 388 492 582 656 776 984 1164 1552 1968 2328 3977 4656 7954 11931 15908 23862 31816 47724 63632 95448 190896