Search a number
-
+
6039823132 = 2271927732
BaseRepresentation
bin1011010000000000…
…00110001100011100
3120120220222210202001
411220000012030130
544332143320012
62435154212044
7302446435540
oct55000061434
916526883661
106039823132
11261a360572
121206884024
137533ccc55
14414217a20
152553a2357
hex16800631c

6039823132 has 54 divisors (see below), whose sum is σ = 12765392808. Its totient is φ = 2449086624.

The previous prime is 6039823123. The next prime is 6039823133. The reversal of 6039823132 is 2313289306.

It is a junction number, because it is equal to n+sod(n) for n = 6039823091 and 6039823100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6039823133) 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 17 ways as a sum of consecutive naturals, for example, 7813098 + ... + 7813870.

Almost surely, 26039823132 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 6039823132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382696404).

6039823132 is an abundant number, since it is smaller than the sum of its proper divisors (6725569676).

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

6039823132 is an equidigital number, since it uses as much as digits as its factorization.

6039823132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 6039823132 is about 77716.2990112113. The cubic root of 6039823132 is about 1821.1319219639.

The spelling of 6039823132 in words is "six billion, thirty-nine million, eight hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 773 1444 1546 2527 3092 5054 5411 10108 10822 14687 21644 29374 58748 102809 205618 279053 411236 558106 597529 1116212 1195058 1953371 2390116 3906742 4182703 7813484 8365406 11353051 16730812 22706102 45412204 79471357 158942714 215707969 317885428 431415938 862831876 1509955783 3019911566 6039823132