Search a number
-
+
1111603104 = 25324099437
BaseRepresentation
bin100001001000001…
…1011011110100000
32212110200021210100
41002100123132200
54234032244404
6302145302400
736355320243
oct10220333640
92773607710
101111603104
1152051a957
12270334a00
131493b4121
14a78bd25a
15678c8d39
hex4241b7a0

1111603104 has 72 divisors (see below), whose sum is σ = 3169186020. Its totient is φ = 369589248.

The previous prime is 1111603093. The next prime is 1111603109. The reversal of 1111603104 is 4013061111.

It can be written as a sum of positive squares in 2 ways, for example, as 1027330704 + 84272400 = 32052^2 + 9180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11116031042 = 2471322921644869632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1111603109) 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, 113074 + ... + 122510.

Almost surely, 21111603104 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 1111603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584593010).

1111603104 is an abundant number, since it is smaller than the sum of its proper divisors (2057582916).

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

1111603104 is a wasteful number, since it uses less digits than its factorization.

1111603104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9862 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1111603104 is about 33340.7124099051. The cubic root of 1111603104 is about 1035.8970197227.

Adding to 1111603104 its reverse (4013061111), we get a palindrome (5124664215).

The spelling of 1111603104 in words is "one billion, one hundred eleven million, six hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 409 818 1227 1636 2454 3272 3681 4908 6544 7362 9437 9816 13088 14724 18874 19632 28311 29448 37748 39264 56622 58896 75496 84933 113244 117792 150992 169866 226488 301984 339732 452976 679464 905952 1358928 2717856 3859733 7719466 11579199 15438932 23158398 30877864 34737597 46316796 61755728 69475194 92633592 123511456 138950388 185267184 277900776 370534368 555801552 1111603104