Search a number
-
+
191840 = 25511109
BaseRepresentation
bin101110110101100000
3100202011012
4232311200
522114330
64040052
71426205
oct566540
9322135
10191840
11121150
1293028
136941c
144dcac
153bc95
hex2ed60

191840 has 48 divisors (see below), whose sum is σ = 498960. Its totient is φ = 69120.

The previous prime is 191837. The next prime is 191861. The reversal of 191840 is 48191.

191840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706 + ... + 1814.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2191840 is an apocalyptic number.

191840 is a gapful number since it is divisible by the number (10) 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 191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249480).

191840 is an abundant number, since it is smaller than the sum of its proper divisors (307120).

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

191840 is a wasteful number, since it uses less digits than its factorization.

191840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 191840 is about 437.9954337662. The cubic root of 191840 is about 57.6739533636.

The spelling of 191840 in words is "one hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 109 110 160 176 218 220 352 436 440 545 872 880 1090 1199 1744 1760 2180 2398 3488 4360 4796 5995 8720 9592 11990 17440 19184 23980 38368 47960 95920 191840