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1042132 = 227213409
BaseRepresentation
bin11111110011011010100
31221221112111
43332123110
5231322012
634200404
711600200
oct3763324
91857474
101042132
11651a73
12423104
132a6460
141d1b00
15158ba7
hexfe6d4

1042132 has 36 divisors (see below), whose sum is σ = 2290260. Its totient is φ = 411264.

The previous prime is 1042123. The next prime is 1042133. The reversal of 1042132 is 2312401.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 470596 = 756^2 + 686^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042133) 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 11 ways as a sum of consecutive naturals, for example, 2344 + ... + 2752.

21042132 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 1042132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145130).

1042132 is an abundant number, since it is smaller than the sum of its proper divisors (1248128).

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

1042132 is a wasteful number, since it uses less digits than its factorization.

1042132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1042132 is about 1020.8486665515. The cubic root of 1042132 is about 101.3851256862.

Adding to 1042132 its reverse (2312401), we get a palindrome (3354533).

The spelling of 1042132 in words is "one million, forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 409 637 818 1274 1636 2548 2863 5317 5726 10634 11452 20041 21268 37219 40082 74438 80164 148876 260533 521066 1042132