Search a number
-
+
32040840 = 233513192347
BaseRepresentation
bin111101000111…
…0011110001000
32020021211202210
41322032132020
531200301330
63102425120
7536225346
oct172163610
966254683
1032040840
11170a4837
12a8921a0
13683aba0
144380996
152c2d8b0
hex1e8e788

32040840 has 256 divisors, whose sum is σ = 116121600. Its totient is φ = 6994944.

The previous prime is 32040839. The next prime is 32040847. The reversal of 32040840 is 4804023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32040847) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 681697 + ... + 681743.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 232040840 is an apocalyptic number.

32040840 is a gapful number since it is divisible by the number (30) 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 32040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

32040840 is an abundant number, since it is smaller than the sum of its proper divisors (84080760).

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

32040840 is a wasteful number, since it uses less digits than its factorization.

32040840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 32040840 is about 5660.4628785992. The cubic root of 32040840 is about 317.6152143498.

Adding to 32040840 its reverse (4804023), we get a palindrome (36844863).

The spelling of 32040840 in words is "thirty-two million, forty thousand, eight hundred forty".