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8105040 = 2432511257
BaseRepresentation
bin11110111010110001010000
3120020210000200
4132322301100
54033330130
6445415200
7125614566
oct36726120
916223020
108105040
114636489
12286a500
1318aa1a8
14110da36
15aa1760
hex7bac50

8105040 has 60 divisors (see below), whose sum is σ = 27221844. Its totient is φ = 2161152.

The previous prime is 8105021. The next prime is 8105047. The reversal of 8105040 is 405018.

8105040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 3069504 = 2244^2 + 1752^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8105047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4909 + ... + 6348.

Almost surely, 28105040 is an apocalyptic number.

8105040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8105040 is an abundant number, since it is smaller than the sum of its proper divisors (19116804).

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

8105040 is a wasteful number, since it uses less digits than its factorization.

8105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8105040 is about 2846.9351942045. The cubic root of 8105040 is about 200.8715299942.

The spelling of 8105040 in words is "eight million, one hundred five thousand, forty".

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 11257 22514 33771 45028 56285 67542 90056 101313 112570 135084 168855 180112 202626 225140 270168 337710 405252 450280 506565 540336 675420 810504 900560 1013130 1350840 1621008 2026260 2701680 4052520 8105040