Search a number
-
+
1116544 = 27111361
BaseRepresentation
bin100010000100110000000
32002201121111
410100212000
5241212134
635533104
712330142
oct4204600
92081544
101116544
116a2970
1245a194
133012a0
14210c92
15170c64
hex110980

1116544 has 64 divisors (see below), whose sum is σ = 2656080. Its totient is φ = 460800.

The previous prime is 1116541. The next prime is 1116547. The reversal of 1116544 is 4456111.

It is an interprime number because it is at equal distance from previous prime (1116541) and next prime (1116547).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18274 + ... + 18334.

21116544 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 1116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328040).

1116544 is an abundant number, since it is smaller than the sum of its proper divisors (1539536).

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

1116544 is a wasteful number, since it uses less digits than its factorization.

1116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 1116544 is about 1056.6664563617. Note that the first 3 decimals coincide. The cubic root of 1116544 is about 103.7429549578.

The spelling of 1116544 in words is "one million, one hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 61 64 88 104 122 128 143 176 208 244 286 352 416 488 572 671 704 793 832 976 1144 1342 1408 1586 1664 1952 2288 2684 3172 3904 4576 5368 6344 7808 8723 9152 10736 12688 17446 18304 21472 25376 34892 42944 50752 69784 85888 101504 139568 279136 558272 1116544