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4080640 = 2105797
BaseRepresentation
bin1111100100010000000000
321200022120211
433210100000
52021040030
6223243504
746453624
oct17442000
97608524
104080640
112337933
121449594
13acb4a5
14783184
1555912a
hex3e4400

4080640 has 44 divisors (see below), whose sum is σ = 9801036. Its totient is φ = 1630208.

The previous prime is 4080613. The next prime is 4080647. The reversal of 4080640 is 460804.

It can be written as a sum of positive squares in 2 ways, for example, as 1721344 + 2359296 = 1312^2 + 1536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4722 + ... + 5518.

Almost surely, 24080640 is an apocalyptic number.

4080640 is a gapful number since it is divisible by the number (40) 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 4080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900518).

4080640 is an abundant number, since it is smaller than the sum of its proper divisors (5720396).

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

4080640 is an equidigital number, since it uses as much as digits as its factorization.

4080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4080640 is about 2020.0594050671. The cubic root of 4080640 is about 159.7997494779.

The spelling of 4080640 in words is "four million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 797 1024 1280 1594 2560 3188 3985 5120 6376 7970 12752 15940 25504 31880 51008 63760 102016 127520 204032 255040 408064 510080 816128 1020160 2040320 4080640