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1133028 = 223413269
BaseRepresentation
bin100010100100111100100
32010120020000
410110213210
5242224103
640141300
712426201
oct4244744
92116200
101133028
11704296
12467830
13308940
14216ca8
15175aa3
hex1149e4

1133028 has 60 divisors (see below), whose sum is σ = 3201660. Its totient is φ = 347328.

The previous prime is 1133017. The next prime is 1133039. The reversal of 1133028 is 8203311.

It is an interprime number because it is at equal distance from previous prime (1133017) and next prime (1133039).

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 1016064 = 342^2 + 1008^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1133028.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4078 + ... + 4346.

It is an arithmetic number, because the mean of its divisors is an integer number (53361).

21133028 is an apocalyptic number.

1133028 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 1133028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600830).

1133028 is an abundant number, since it is smaller than the sum of its proper divisors (2068632).

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

1133028 is a wasteful number, since it uses less digits than its factorization.

1133028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1133028 is about 1064.4378798220. The cubic root of 1133028 is about 104.2509963157.

Adding to 1133028 its reverse (8203311), we get a palindrome (9336339).

The spelling of 1133028 in words is "one million, one hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 269 324 351 468 538 702 807 1053 1076 1404 1614 2106 2421 3228 3497 4212 4842 6994 7263 9684 10491 13988 14526 20982 21789 29052 31473 41964 43578 62946 87156 94419 125892 188838 283257 377676 566514 1133028