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1073142 = 233717167
BaseRepresentation
bin100000101111111110110
32000112002000
410011333312
5233320032
635000130
712056460
oct4057766
92015060
101073142
116732a4
12439046
132b75c5
141dd130
15162e7c
hex105ff6

1073142 has 64 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 286848.

The previous prime is 1073141. The next prime is 1073143. The reversal of 1073142 is 2413701.

It is an interprime number because it is at equal distance from previous prime (1073141) and next prime (1073143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073141) 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 31 ways as a sum of consecutive naturals, for example, 6343 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

21073142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

1073142 is an abundant number, since it is smaller than the sum of its proper divisors (1829898).

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

1073142 is a wasteful number, since it uses less digits than its factorization.

1073142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1073142 is about 1035.9256730094. The cubic root of 1073142 is about 102.3809285568.

Adding to 1073142 its reverse (2413701), we get a palindrome (3486843).

It can be divided in two parts, 107 and 3142, that added together give a square (3249 = 572).

The spelling of 1073142 in words is "one million, seventy-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 167 189 238 306 334 357 378 459 501 714 918 1002 1071 1169 1503 2142 2338 2839 3006 3213 3507 4509 5678 6426 7014 8517 9018 10521 17034 19873 21042 25551 31563 39746 51102 59619 63126 76653 119238 153306 178857 357714 536571 1073142