Search a number
-
+
1133088 = 253112937
BaseRepresentation
bin100010100101000100000
32010120022020
410110220200
5242224323
640141440
712426315
oct4245040
92116266
101133088
11704340
12467880
13308988
14216d0c
15175ae3
hex114a20

1133088 has 96 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 322560.

The previous prime is 1133071. The next prime is 1133131. The reversal of 1133088 is 8803311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30606 + ... + 30642.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

21133088 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 1133088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1133088 is an abundant number, since it is smaller than the sum of its proper divisors (2314272).

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

1133088 is a wasteful number, since it uses less digits than its factorization.

1133088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1133088 is about 1064.4660633388. The cubic root of 1133088 is about 104.2528365025.

Adding to 1133088 its reverse (8803311), we get a palindrome (9936399).

The spelling of 1133088 in words is "one million, one hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 37 44 48 58 66 74 87 88 96 111 116 132 148 174 176 222 232 264 296 319 348 352 407 444 464 528 592 638 696 814 888 928 957 1056 1073 1184 1221 1276 1392 1628 1776 1914 2146 2442 2552 2784 3219 3256 3552 3828 4292 4884 5104 6438 6512 7656 8584 9768 10208 11803 12876 13024 15312 17168 19536 23606 25752 30624 34336 35409 39072 47212 51504 70818 94424 103008 141636 188848 283272 377696 566544 1133088