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2142147 = 37831229
BaseRepresentation
bin1000001010111111000011
311000211110210
420022333003
51022022042
6113525203
724131220
oct10127703
94024423
102142147
111233477
12873803
135a0057
143da947
152c4a9c
hex20afc3

2142147 has 16 divisors (see below), whose sum is σ = 3306240. Its totient is φ = 1208352.

The previous prime is 2142121. The next prime is 2142149. The reversal of 2142147 is 7412412.

It is a happy number.

2142147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2142147 - 26 = 2142083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2142149) 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 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 2357.

It is an arithmetic number, because the mean of its divisors is an integer number (206640).

22142147 is an apocalyptic number.

2142147 is a deficient number, since it is larger than the sum of its proper divisors (1164093).

2142147 is a wasteful number, since it uses less digits than its factorization.

2142147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322.

The product of its digits is 448, while the sum is 21.

The square root of 2142147 is about 1463.6075293602. The cubic root of 2142147 is about 128.9089556494.

Adding to 2142147 its reverse (7412412), we get a palindrome (9554559).

The spelling of 2142147 in words is "two million, one hundred forty-two thousand, one hundred forty-seven".

Divisors: 1 3 7 21 83 249 581 1229 1743 3687 8603 25809 102007 306021 714049 2142147