Search a number
-
+
1113033024 = 263213031483
BaseRepresentation
bin100001001010111…
…1000100101000000
32212120100221021100
41002111320211000
54234414024044
6302240054400
736403424145
oct10225704500
92776327240
101113033024
11521307204
12270904400
13149794c2c
14a7b723cc
1567aac869
hex42578940

1113033024 has 84 divisors (see below), whose sum is σ = 3194909536. Its totient is φ = 370476288.

The previous prime is 1113033013. The next prime is 1113033037. The reversal of 1113033024 is 4203303111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1113032988 and 1113033006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749787 + ... + 751269.

Almost surely, 21113033024 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 1113033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597454768).

1113033024 is an abundant number, since it is smaller than the sum of its proper divisors (2081876512).

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

1113033024 is a wasteful number, since it uses less digits than its factorization.

1113033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1113033024 is about 33362.1495710333. The cubic root of 1113033024 is about 1036.3410076819.

Adding to 1113033024 its reverse (4203303111), we get a palindrome (5316336135).

The spelling of 1113033024 in words is "one billion, one hundred thirteen million, thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1303 1483 2606 2966 3909 4449 5212 5932 7818 8898 10424 11727 11864 13347 15636 17796 20848 23454 23728 26694 31272 35592 41696 46908 47456 53388 62544 71184 83392 93816 94912 106776 125088 142368 187632 213552 250176 284736 375264 427104 750528 854208 1932349 3864698 5797047 7729396 11594094 15458792 17391141 23188188 30917584 34782282 46376376 61835168 69564564 92752752 123670336 139129128 185505504 278258256 371011008 556516512 1113033024