Search a number
-
+
13433112 = 23327112423
BaseRepresentation
bin110011001111…
…100100011000
3221021110202200
4303033210120
511414324422
61155530200
7222115410
oct63174430
927243680
1013433112
117645550
1245b9960
132a243b4
141ad9640
1512a52ac
hexccf918

13433112 has 96 divisors (see below), whose sum is σ = 45377280. Its totient is φ = 3487680.

The previous prime is 13433107. The next prime is 13433113. The reversal of 13433112 is 21133431.

13433112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4333 + ... + 6755.

It is an arithmetic number, because the mean of its divisors is an integer number (472680).

Almost surely, 213433112 is an apocalyptic number.

13433112 is a gapful number since it is divisible by the number (12) 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 13433112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22688640).

13433112 is an abundant number, since it is smaller than the sum of its proper divisors (31944168).

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

13433112 is a wasteful number, since it uses less digits than its factorization.

13433112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2446 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13433112 is about 3665.1210075521. The cubic root of 13433112 is about 237.7162543698.

Adding to 13433112 its reverse (21133431), we get a palindrome (34566543).

The spelling of 13433112 in words is "thirteen million, four hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2423 2772 4846 5544 7269 9692 14538 16961 19384 21807 26653 29076 33922 43614 50883 53306 58152 67844 79959 87228 101766 106612 135688 152649 159918 174456 186571 203532 213224 239877 305298 319836 373142 407064 479754 559713 610596 639672 746284 959508 1119426 1221192 1492568 1679139 1919016 2238852 3358278 4477704 6716556 13433112