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420300 = 223252467
BaseRepresentation
bin1100110100111001100
3210100112200
41212213030
5101422200
613001500
73400236
oct1464714
9710480
10420300
11267861
12183290
131193ca
14ad256
1584800
hex669cc

420300 has 54 divisors (see below), whose sum is σ = 1320228. Its totient is φ = 111840.

The previous prime is 420293. The next prime is 420307. The reversal of 420300 is 3024.

It is an interprime number because it is at equal distance from previous prime (420293) and next prime (420307).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420300.

It is not an unprimeable number, because it can be changed into a prime (420307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 667 + ... + 1133.

2420300 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 420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660114).

420300 is an abundant number, since it is smaller than the sum of its proper divisors (899928).

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

420300 is a wasteful number, since it uses less digits than its factorization.

420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 420300 is about 648.3054835492. The cubic root of 420300 is about 74.9065502770.

Adding to 420300 its reverse (3024), we get a palindrome (423324).

The spelling of 420300 in words is "four hundred twenty thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 467 900 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 11675 14010 16812 21015 23350 28020 35025 42030 46700 70050 84060 105075 140100 210150 420300