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6295040 = 2952459
BaseRepresentation
bin11000000000111000000000
3102211211011122
4120000320000
53102420130
6342531412
7104335613
oct30007000
912754148
106295040
11360a614
122136b68
1313c539b
14b9c17a
158452e5
hex600e00

6295040 has 40 divisors (see below), whose sum is σ = 15099480. Its totient is φ = 2516992.

The previous prime is 6295033. The next prime is 6295043. The reversal of 6295040 is 405926.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6295043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1331 + ... + 3789.

It is an arithmetic number, because the mean of its divisors is an integer number (377487).

Almost surely, 26295040 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 6295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549740).

6295040 is an abundant number, since it is smaller than the sum of its proper divisors (8804440).

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

6295040 is an equidigital number, since it uses as much as digits as its factorization.

6295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 6295040 is about 2508.9918294008. The cubic root of 6295040 is about 184.6429930221.

The spelling of 6295040 in words is "six million, two hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2459 2560 4918 9836 12295 19672 24590 39344 49180 78688 98360 157376 196720 314752 393440 629504 786880 1259008 1573760 3147520 6295040