Search a number
-
+
1141128 = 2335587
BaseRepresentation
bin100010110100110001000
32010222100000
410112212020
5243004003
640243000
712461622
oct4264610
92128300
101141128
1170a38a
12470460
1330c531
14219c12
151781a3
hex116988

1141128 has 48 divisors (see below), whose sum is σ = 3210480. Its totient is φ = 379728.

The previous prime is 1141123. The next prime is 1141139. The reversal of 1141128 is 8211411.

It is a super-2 number, since 2×11411282 = 2604346224768, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1141128.

It is not an unprimeable number, because it can be changed into a prime (1141123) 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, 1651 + ... + 2237.

It is an arithmetic number, because the mean of its divisors is an integer number (66885).

21141128 is an apocalyptic number.

1141128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605240).

1141128 is an abundant number, since it is smaller than the sum of its proper divisors (2069352).

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

1141128 is an equidigital number, since it uses as much as digits as its factorization.

1141128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 592 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1141128 is about 1068.2359289970. The cubic root of 1141128 is about 104.4988362469.

Adding to 1141128 its reverse (8211411), we get a palindrome (9352539).

The spelling of 1141128 in words is "one million, one hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 587 648 972 1174 1761 1944 2348 3522 4696 5283 7044 10566 14088 15849 21132 31698 42264 47547 63396 95094 126792 142641 190188 285282 380376 570564 1141128