Search a number
-
+
2141982 = 232127937
BaseRepresentation
bin1000001010111100011110
311000211020200
420022330132
51022020412
6113524330
724130563
oct10127436
94024220
102141982
111233337
128736a6
1359cc5b
143da86a
152c49dc
hex20af1e

2141982 has 24 divisors (see below), whose sum is σ = 4682496. Its totient is φ = 707616.

The previous prime is 2141977. The next prime is 2141987. The reversal of 2141982 is 2891412.

2141982 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 (2141977) and next prime (2141987).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141987) 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 11 ways as a sum of consecutive naturals, for example, 1818 + ... + 2754.

It is an arithmetic number, because the mean of its divisors is an integer number (195104).

22141982 is an apocalyptic number.

2141982 is an abundant number, since it is smaller than the sum of its proper divisors (2540514).

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

2141982 is a wasteful number, since it uses less digits than its factorization.

2141982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1069 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2141982 is about 1463.5511607047. The cubic root of 2141982 is about 128.9056458043.

The spelling of 2141982 in words is "two million, one hundred forty-one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 127 254 381 762 937 1143 1874 2286 2811 5622 8433 16866 118999 237998 356997 713994 1070991 2141982