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420486 = 231123277
BaseRepresentation
bin1100110101010000110
3210100210120
41212222012
5101423421
613002410
73400623
oct1465206
9710716
10420486
11267a10
12183406
13119511
14ad34a
15848c6
hex66a86

420486 has 32 divisors (see below), whose sum is σ = 960768. Its totient is φ = 121440.

The previous prime is 420481. The next prime is 420499. The reversal of 420486 is 684024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420481) 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, 1380 + ... + 1656.

It is an arithmetic number, because the mean of its divisors is an integer number (30024).

2420486 is an apocalyptic number.

420486 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480384).

420486 is an abundant number, since it is smaller than the sum of its proper divisors (540282).

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

420486 is a wasteful number, since it uses less digits than its factorization.

420486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 420486 is about 648.4489185742. The cubic root of 420486 is about 74.9175983884.

The spelling of 420486 in words is "four hundred twenty thousand, four hundred eighty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 277 506 554 759 831 1518 1662 3047 6094 6371 9141 12742 18282 19113 38226 70081 140162 210243 420486