Search a number
-
+
1982968 = 231323829
BaseRepresentation
bin111100100000111111000
310201202010021
413210013320
51001423333
6110300224
722566151
oct7440770
93652107
101982968
111134919
127b7674
13545770
14398928
1529282d
hex1e41f8

1982968 has 32 divisors (see below), whose sum is σ = 4183200. Its totient is φ = 874368.

The previous prime is 1982957. The next prime is 1982969. The reversal of 1982968 is 8692891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1978 + ... + 2806.

It is an arithmetic number, because the mean of its divisors is an integer number (130725).

21982968 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 1982968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091600).

1982968 is an abundant number, since it is smaller than the sum of its proper divisors (2200232).

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

1982968 is a wasteful number, since it uses less digits than its factorization.

1982968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its digits is 62208, while the sum is 43.

The square root of 1982968 is about 1408.1789658989. The cubic root of 1982968 is about 125.6334353221.

The spelling of 1982968 in words is "one million, nine hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 829 1196 1658 2392 3316 6632 10777 19067 21554 38134 43108 76268 86216 152536 247871 495742 991484 1982968