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4080880 = 245291759
BaseRepresentation
bin1111100100010011110000
321200022220201
433210103300
52021042010
6223244544
746454416
oct17442360
97608821
104080880
112338031
121449754
13acb62b
147832b6
1555923a
hex3e44f0

4080880 has 40 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 1575168.

The previous prime is 4080859. The next prime is 4080889. The reversal of 4080880 is 880804.

It is a happy number.

4080880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080889) 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 7 ways as a sum of consecutive naturals, for example, 1441 + ... + 3199.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 24080880 is an apocalyptic number.

4080880 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 4080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

4080880 is an abundant number, since it is smaller than the sum of its proper divisors (5739920).

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

4080880 is a wasteful number, since it uses less digits than its factorization.

4080880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 4080880 is about 2020.1188083873. The cubic root of 4080880 is about 159.8028822534.

The spelling of 4080880 in words is "four million, eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1759 2320 3518 7036 8795 14072 17590 28144 35180 51011 70360 102022 140720 204044 255055 408088 510110 816176 1020220 2040440 4080880