Search a number
-
+
12440032 = 251159599
BaseRepresentation
bin101111011101…
…000111100000
3212102000111221
4233131013200
511141040112
61122344424
7210511213
oct57350740
925360457
1012440032
117027420
1241bb114
132767387
14191b77a
15115ae07
hexbdd1e0

12440032 has 48 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 5549440.

The previous prime is 12440027. The next prime is 12440053. The reversal of 12440032 is 23004421.

It is a super-2 number, since 2×124400322 = 309508792322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12439988 and 12440015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20469 + ... + 21067.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 212440032 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 12440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

12440032 is an abundant number, since it is smaller than the sum of its proper divisors (14775968).

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

12440032 is a wasteful number, since it uses less digits than its factorization.

12440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12440032 is about 3527.0429540906. The cubic root of 12440032 is about 231.7077175384.

Adding to 12440032 its reverse (23004421), we get a palindrome (35444453).

It can be divided in two parts, 12 and 440032, that added together give a palindrome (440044).

The spelling of 12440032 in words is "twelve million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 599 649 944 1198 1298 1888 2396 2596 4792 5192 6589 9584 10384 13178 19168 20768 26356 35341 52712 70682 105424 141364 210848 282728 388751 565456 777502 1130912 1555004 3110008 6220016 12440032