[go: up one dir, main page]

Search a number
-
+
13004544 = 28374159
BaseRepresentation
bin110001100110…
…111100000000
3220110200212210
4301212330000
511312121134
61142422120
7215352060
oct61467400
926420783
1013004544
117382563
124431940
1329042c7
141a273a0
15121d2e9
hexc66f00

13004544 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3563520.

The previous prime is 13004543. The next prime is 13004587. The reversal of 13004544 is 44540031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13004544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220387 + ... + 220445.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 213004544 is an apocalyptic number.

13004544 is a gapful number since it is divisible by the number (14) 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 13004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

13004544 is an abundant number, since it is smaller than the sum of its proper divisors (28202496).

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

13004544 is an equidigital number, since it uses as much as digits as its factorization.

13004544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13004544 is about 3606.1813598320. The cubic root of 13004544 is about 235.1608616443.

Adding to 13004544 its reverse (44540031), we get a palindrome (57544575).

The spelling of 13004544 in words is "thirteen million, four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 59 64 82 84 96 112 118 123 128 164 168 177 192 224 236 246 256 287 328 336 354 384 413 448 472 492 574 656 672 708 768 826 861 896 944 984 1148 1239 1312 1344 1416 1652 1722 1792 1888 1968 2296 2419 2478 2624 2688 2832 3304 3444 3776 3936 4592 4838 4956 5248 5376 5664 6608 6888 7257 7552 7872 9184 9676 9912 10496 11328 13216 13776 14514 15104 15744 16933 18368 19352 19824 22656 26432 27552 29028 31488 33866 36736 38704 39648 45312 50799 52864 55104 58056 67732 73472 77408 79296 101598 105728 110208 116112 135464 154816 158592 203196 220416 232224 270928 309632 317184 406392 464448 541856 619264 812784 928896 1083712 1625568 1857792 2167424 3251136 4334848 6502272 13004544