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4096080 = 243255689
BaseRepresentation
bin1111101000000001010000
321201002202200
433220001100
52022033310
6223443200
746546632
oct17500120
97632680
104096080
11234849a
121456500
13b05521
14788a52
1555d9c0
hex3e8050

4096080 has 60 divisors (see below), whose sum is σ = 13758420. Its totient is φ = 1092096.

The previous prime is 4096073. The next prime is 4096109. The reversal of 4096080 is 806904.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 1192464 = 1704^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2125 + ... + 3564.

It is an arithmetic number, because the mean of its divisors is an integer number (229307).

Almost surely, 24096080 is an apocalyptic number.

4096080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4096080 is an abundant number, since it is smaller than the sum of its proper divisors (9662340).

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

4096080 is a wasteful number, since it uses less digits than its factorization.

4096080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4096080 is about 2023.8774666466. The cubic root of 4096080 is about 160.0010416599.

The spelling of 4096080 in words is "four million, ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5689 11378 17067 22756 28445 34134 45512 51201 56890 68268 85335 91024 102402 113780 136536 170670 204804 227560 256005 273072 341340 409608 455120 512010 682680 819216 1024020 1365360 2048040 4096080