Search a number
-
+
11324023040 = 285111017963
BaseRepresentation
bin10101000101111011…
…01110000100000000
31002020012010222021202
422202331232010000
5141142422214130
65111401040332
7550422415301
oct124275560400
932205128252
1011324023040
114891130130
1222404860a8
1310b60b6a65
14795d387a8
15464246145
hex2a2f6e100

11324023040 has 144 divisors (see below), whose sum is σ = 29887171776. Its totient is φ = 4076544000.

The previous prime is 11324023031. The next prime is 11324023043. The reversal of 11324023040 is 4032042311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11324023043) 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, 1418099 + ... + 1426061.

It is an arithmetic number, because the mean of its divisors is an integer number (207549804).

Almost surely, 211324023040 is an apocalyptic number.

11324023040 is a gapful number since it is divisible by the number (10) 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 11324023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943585888).

11324023040 is an abundant number, since it is smaller than the sum of its proper divisors (18563148736).

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

11324023040 is a wasteful number, since it uses less digits than its factorization.

11324023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11324023040 its reverse (4032042311), we get a palindrome (15356065351).

The spelling of 11324023040 in words is "eleven billion, three hundred twenty-four million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 256 320 352 404 440 505 640 704 808 880 1010 1111 1280 1408 1616 1760 2020 2222 2816 3232 3520 4040 4444 5555 6464 7040 7963 8080 8888 11110 12928 14080 15926 16160 17776 22220 25856 31852 32320 35552 39815 44440 63704 64640 71104 79630 87593 88880 127408 129280 142208 159260 175186 177760 254816 284416 318520 350372 355520 437965 509632 637040 700744 711040 804263 875930 1019264 1274080 1401488 1422080 1608526 1751860 2038528 2548160 2802976 3217052 3503720 4021315 5096320 5605952 6434104 7007440 8042630 8846893 10192640 11211904 12868208 14014880 16085260 17693786 22423808 25736416 28029760 32170520 35387572 44234465 51472832 56059520 64341040 70775144 88468930 102945664 112119040 128682080 141550288 176937860 205891328 257364160 283100576 353875720 514728320 566201152 707751440 1029456640 1132402304 1415502880 2264804608 2831005760 5662011520 11324023040