Search a number
-
+
2705420 = 225135271
BaseRepresentation
bin1010010100100000001100
312002110010202
422110200030
51143033140
6133553032
731665344
oct12244014
95073122
102705420
111588693
12aa5778
13739553
14505d24
15386915
hex29480c

2705420 has 12 divisors (see below), whose sum is σ = 5681424. Its totient is φ = 1082160.

The previous prime is 2705419. The next prime is 2705441. The reversal of 2705420 is 245072.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 135271 = 2705420 / (2 + 7 + 0 + 5 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2705392 and 2705401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67616 + ... + 67655.

It is an arithmetic number, because the mean of its divisors is an integer number (473452).

22705420 is an apocalyptic number.

2705420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2705420 is an abundant number, since it is smaller than the sum of its proper divisors (2976004).

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

2705420 is a wasteful number, since it uses less digits than its factorization.

2705420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135280 (or 135278 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2705420 is about 1644.8160991430. The cubic root of 2705420 is about 139.3407783288.

It can be divided in two parts, 2705 and 420, that added together give a 5-th power (3125 = 55).

The spelling of 2705420 in words is "two million, seven hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 135271 270542 541084 676355 1352710 2705420