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6540032 = 2859433
BaseRepresentation
bin11000111100101100000000
3110022021020102
4120330230000
53133240112
6352101532
7106406102
oct30745400
913267212
106540032
113767694
1222348a8
13147ca55
14c23572
15892bc2
hex63cb00

6540032 has 36 divisors (see below), whose sum is σ = 13306440. Its totient is φ = 3207168.

The previous prime is 6540029. The next prime is 6540067. The reversal of 6540032 is 2300456.

It is a super-2 number, since 2×65400322 = 85544037122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6539986 and 6540013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14888 + ... + 15320.

Almost surely, 26540032 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 6540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653220).

6540032 is an abundant number, since it is smaller than the sum of its proper divisors (6766408).

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

6540032 is an equidigital number, since it uses as much as digits as its factorization.

6540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 6540032 is about 2557.3486269963. The cubic root of 6540032 is about 187.0079019033.

Adding to 6540032 its reverse (2300456), we get a palindrome (8840488).

The spelling of 6540032 in words is "six million, five hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 433 472 866 944 1732 1888 3464 3776 6928 7552 13856 15104 25547 27712 51094 55424 102188 110848 204376 408752 817504 1635008 3270016 6540032