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424200 = 233527101
BaseRepresentation
bin1100111100100001000
3210112220010
41213210020
5102033300
613031520
73414510
oct1474410
9715803
10424200
1126a787
121855a0
1311b10a
14b0840
1585a50
hex67908

424200 has 96 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 96000.

The previous prime is 424199. The next prime is 424223. The reversal of 424200 is 2424.

424200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 424200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4150 + ... + 4250.

It is an arithmetic number, because the mean of its divisors is an integer number (15810).

2424200 is an apocalyptic number.

424200 is a gapful number since it is divisible by the number (40) 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 424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

424200 is an abundant number, since it is smaller than the sum of its proper divisors (1093560).

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

424200 is a wasteful number, since it uses less digits than its factorization.

424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 424200 is about 651.3063795174. The cubic root of 424200 is about 75.1375254470.

Adding to 424200 its reverse (2424), we get a palindrome (426624).

It can be divided in two parts, 42 and 4200, that multiplied together give a square (176400 = 4202).

The spelling of 424200 in words is "four hundred twenty-four thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 101 105 120 140 150 168 175 200 202 210 280 300 303 350 404 420 505 525 600 606 700 707 808 840 1010 1050 1212 1400 1414 1515 2020 2100 2121 2424 2525 2828 3030 3535 4040 4200 4242 5050 5656 6060 7070 7575 8484 10100 10605 12120 14140 15150 16968 17675 20200 21210 28280 30300 35350 42420 53025 60600 70700 84840 106050 141400 212100 424200