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4080128 = 2913613
BaseRepresentation
bin1111100100001000000000
321200021212212
433210020000
52021031003
6223241252
746452263
oct17441000
97607785
104080128
112337508
121449228
13acb1a0
14782cda
15558dd8
hex3e4200

4080128 has 40 divisors (see below), whose sum is σ = 8793708. Its totient is φ = 1880064.

The previous prime is 4080121. The next prime is 4080133. The reversal of 4080128 is 8210804.

It can be written as a sum of positive squares in 2 ways, for example, as 2930944 + 1149184 = 1712^2 + 1072^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4080121) 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, 6350 + ... + 6962.

Almost surely, 24080128 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 4080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396854).

4080128 is an abundant number, since it is smaller than the sum of its proper divisors (4713580).

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

4080128 is an equidigital number, since it uses as much as digits as its factorization.

4080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 4080128 is about 2019.9326721453. The cubic root of 4080128 is about 159.7930658127.

The spelling of 4080128 in words is "four million, eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 613 832 1226 1664 2452 3328 4904 6656 7969 9808 15938 19616 31876 39232 63752 78464 127504 156928 255008 313856 510016 1020032 2040064 4080128