Search a number
-
+
831996 = 2232112191
BaseRepresentation
bin11001011000111111100
31120021021200
43023013330
5203110441
625455500
710033434
oct3130774
91507250
10831996
11519100
12341590
13231909
141792c4
151167b6
hexcb1fc

831996 has 54 divisors (see below), whose sum is σ = 2323776. Its totient is φ = 250800.

The previous prime is 831983. The next prime is 832003. The reversal of 831996 is 699138.

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

It is a self number, because there is not a number n which added to its sum of digits gives 831996.

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 831996.

It is an unprimeable number.

831996 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 17 ways as a sum of consecutive naturals, for example, 4261 + ... + 4451.

2831996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161888).

831996 is an abundant number, since it is smaller than the sum of its proper divisors (1491780).

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

831996 is a wasteful number, since it uses less digits than its factorization.

831996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 831996 is about 912.1381474316. The cubic root of 831996 is about 94.0532367820.

The spelling of 831996 in words is "eight hundred thirty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 191 198 242 363 382 396 484 573 726 764 1089 1146 1452 1719 2101 2178 2292 3438 4202 4356 6303 6876 8404 12606 18909 23111 25212 37818 46222 69333 75636 92444 138666 207999 277332 415998 831996