Search a number
-
+
1022142 = 231117911
BaseRepresentation
bin11111001100010111110
31220221010010
43321202332
5230202032
633524050
711455002
oct3714276
91827103
101022142
11638a50
12413626
1329a324
141c8702
15152ccc
hexf98be

1022142 has 32 divisors (see below), whose sum is σ = 2363904. Its totient is φ = 291200.

The previous prime is 1022141. The next prime is 1022167. The reversal of 1022142 is 2412201.

1022142 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (73872).

21022142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181952).

1022142 is an abundant number, since it is smaller than the sum of its proper divisors (1341762).

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

1022142 is a wasteful number, since it uses less digits than its factorization.

1022142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1022142 is about 1011.0103857033. The cubic root of 1022142 is about 100.7326852786.

Adding to 1022142 its reverse (2412201), we get a palindrome (3434343).

The spelling of 1022142 in words is "one million, twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 911 1122 1822 2733 5466 10021 15487 20042 30063 30974 46461 60126 92922 170357 340714 511071 1022142