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420256 = 2523571
BaseRepresentation
bin1100110100110100000
3210100111001
41212212200
5101422011
613001344
73400144
oct1464640
9710431
10420256
11267821
12183254
13119395
14ad224
15847c1
hex669a0

420256 has 24 divisors (see below), whose sum is σ = 864864. Its totient is φ = 200640.

The previous prime is 420253. The next prime is 420263. The reversal of 420256 is 652024.

It is not an unprimeable number, because it can be changed into a prime (420253) 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, 451 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2420256 is an apocalyptic number.

420256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

420256 is an abundant number, since it is smaller than the sum of its proper divisors (444608).

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

420256 is a wasteful number, since it uses less digits than its factorization.

420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 420256 is about 648.2715480414. The cubic root of 420256 is about 74.9039362686.

It can be divided in two parts, 420 and 256, that added together give a palindrome (676).

The spelling of 420256 in words is "four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 571 736 1142 2284 4568 9136 13133 18272 26266 52532 105064 210128 420256