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8005540 = 225400277
BaseRepresentation
bin11110100010011110100100
3120001201112111
4132202132210
54022134130
6443330404
7125021524
oct36423644
916051474
108005540
114578754
122820a04
131873b0a
1410c5684
15a8202a
hex7a27a4

8005540 has 12 divisors (see below), whose sum is σ = 16811676. Its totient is φ = 3202208.

The previous prime is 8005531. The next prime is 8005549. The reversal of 8005540 is 455008.

It is a happy number.

8005540 is nontrivially palindromic in base 11.

8005540 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8005531) and next prime (8005549).

It can be written as a sum of positive squares in 2 ways, for example, as 5914624 + 2090916 = 2432^2 + 1446^2 .

It is not an unprimeable number, because it can be changed into a prime (8005549) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200119 + ... + 200158.

It is an arithmetic number, because the mean of its divisors is an integer number (1400973).

Almost surely, 28005540 is an apocalyptic number.

It is an amenable number.

8005540 is an abundant number, since it is smaller than the sum of its proper divisors (8806136).

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

8005540 is a wasteful number, since it uses less digits than its factorization.

8005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400286 (or 400284 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 8005540 is about 2829.4062981481. The cubic root of 8005540 is about 200.0461560140.

The spelling of 8005540 in words is "eight million, five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 400277 800554 1601108 2001385 4002770 8005540