Search a number
-
+
427420 = 22574371
BaseRepresentation
bin1101000010110011100
3210201022101
41220112130
5102134140
613054444
73430060
oct1502634
9721271
10427420
11272144
12187424
1311c716
14b1aa0
158699a
hex6859c

427420 has 48 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 141120.

The previous prime is 427417. The next prime is 427421. The reversal of 427420 is 24724.

427420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4274203 = 234253330747464000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5985 + ... + 6055.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2427420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

427420 is an abundant number, since it is smaller than the sum of its proper divisors (637028).

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

427420 is a wasteful number, since it uses less digits than its factorization.

427420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 427420 is about 653.7736611397. The cubic root of 427420 is about 75.3271633725.

The spelling of 427420 in words is "four hundred twenty-seven thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 71 86 140 142 172 215 284 301 355 430 497 602 710 860 994 1204 1420 1505 1988 2485 3010 3053 4970 6020 6106 9940 12212 15265 21371 30530 42742 61060 85484 106855 213710 427420