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1441128 = 2331331149
BaseRepresentation
bin101011111110101101000
32201012212010
411133311220
5332104003
650515520
715151353
oct5376550
92635763
101441128
118a4817
12595ba0
133b5c50
1429729a
151d7003
hex15fd68

1441128 has 64 divisors (see below), whose sum is σ = 4032000. Its totient is φ = 426240.

The previous prime is 1441127. The next prime is 1441133. The reversal of 1441128 is 8211441.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1441127) 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, 9598 + ... + 9746.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

21441128 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 1441128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016000).

1441128 is an abundant number, since it is smaller than the sum of its proper divisors (2590872).

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

1441128 is a wasteful number, since it uses less digits than its factorization.

1441128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 1441128 is about 1200.4699079944. The cubic root of 1441128 is about 112.9538015656.

Adding to 1441128 its reverse (8211441), we get a palindrome (9652569).

The spelling of 1441128 in words is "one million, four hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 149 156 186 248 298 312 372 403 447 596 744 806 894 1192 1209 1612 1788 1937 2418 3224 3576 3874 4619 4836 5811 7748 9238 9672 11622 13857 15496 18476 23244 27714 36952 46488 55428 60047 110856 120094 180141 240188 360282 480376 720564 1441128