Search a number
-
+
8005420 = 225571701
BaseRepresentation
bin11110100010011100101100
3120001201101001
4132202130230
54022133140
6443330044
7125021263
oct36423454
916051331
108005420
114578655
122820924
131873a47
1410c55da
15a81e9a
hex7a272c

8005420 has 24 divisors (see below), whose sum is σ = 16864848. Its totient is φ = 3192000.

The previous prime is 8005411. The next prime is 8005423. The reversal of 8005420 is 245008.

It is a happy number.

8005420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

8005420 is a modest number, since divided by 5420 gives 80 as remainder.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11070 + ... + 11770.

It is an arithmetic number, because the mean of its divisors is an integer number (702702).

Almost surely, 28005420 is an apocalyptic number.

It is an amenable number.

8005420 is an abundant number, since it is smaller than the sum of its proper divisors (8859428).

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

8005420 is a wasteful number, since it uses less digits than its factorization.

8005420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 8005420 is about 2829.3850922064. The cubic root of 8005420 is about 200.0451564704.

The spelling of 8005420 in words is "eight million, five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 571 701 1142 1402 2284 2804 2855 3505 5710 7010 11420 14020 400271 800542 1601084 2001355 4002710 8005420