Search a number
-
+
11233040 = 2457131543
BaseRepresentation
bin101010110110…
…011100010000
3210010200211112
4222312130100
510333424130
61040432452
7164323250
oct52663420
923120745
1011233040
116382605
123918728
132433b90
1416c5960
15ebd495
hexab6710

11233040 has 80 divisors (see below), whose sum is σ = 32164608. Its totient is φ = 3552768.

The previous prime is 11233037. The next prime is 11233049. The reversal of 11233040 is 4033211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11233049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6509 + ... + 8051.

Almost surely, 211233040 is an apocalyptic number.

11233040 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 11233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16082304).

11233040 is an abundant number, since it is smaller than the sum of its proper divisors (20931568).

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

11233040 is a wasteful number, since it uses less digits than its factorization.

11233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 11233040 is about 3351.5727651358. The cubic root of 11233040 is about 223.9575812534.

Adding to 11233040 its reverse (4033211), we get a palindrome (15266251).

The spelling of 11233040 in words is "eleven million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1543 1820 3086 3640 6172 7280 7715 10801 12344 15430 20059 21602 24688 30860 40118 43204 54005 61720 80236 86408 100295 108010 123440 140413 160472 172816 200590 216020 280826 320944 401180 432040 561652 702065 802360 864080 1123304 1404130 1604720 2246608 2808260 5616520 11233040