Search a number
-
+
1142128 = 241317219
BaseRepresentation
bin100010110110101110000
32011000201001
410112311300
5243022003
640251344
712464551
oct4266560
92130631
101142128
11710109
12470b54
1330cb20
1421a328
1517861d
hex116d70

1142128 has 60 divisors (see below), whose sum is σ = 2664760. Its totient is φ = 470016.

The previous prime is 1142083. The next prime is 1142129. The reversal of 1142128 is 8212411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60103 + ... + 60121.

21142128 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 1142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332380).

1142128 is an abundant number, since it is smaller than the sum of its proper divisors (1522632).

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

1142128 is a wasteful number, since it uses less digits than its factorization.

1142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 1142128 is about 1068.7038878941. The cubic root of 1142128 is about 104.5293523462.

Adding to 1142128 its reverse (8212411), we get a palindrome (9354539).

It can be divided in two parts, 11421 and 28, that added together give a square (11449 = 1072).

The spelling of 1142128 in words is "one million, one hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 152 208 221 247 272 289 304 323 442 494 578 646 884 988 1156 1292 1768 1976 2312 2584 3536 3757 3952 4199 4624 5168 5491 7514 8398 10982 15028 16796 21964 30056 33592 43928 60112 67184 71383 87856 142766 285532 571064 1142128