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423420000 = 253547057
BaseRepresentation
bin11001001111001…
…110000001100000
31002111201222001020
4121033032001200
51331343420000
6110003205440
713331003433
oct3117160140
91074658036
10423420000
111a8011793
12b9976880
13699515a3
144033d81a
152728cba0
hex193ce060

423420000 has 120 divisors (see below), whose sum is σ = 1389099096. Its totient is φ = 112896000.

The previous prime is 423419989. The next prime is 423420017. The reversal of 423420000 is 24324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56472 + ... + 63528.

Almost surely, 2423420000 is an apocalyptic number.

423420000 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 423420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694549548).

423420000 is an abundant number, since it is smaller than the sum of its proper divisors (965679096).

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

423420000 is an equidigital number, since it uses as much as digits as its factorization.

423420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 423420000 is about 20577.1718173319. The cubic root of 423420000 is about 750.9144401680.

Adding to 423420000 its reverse (24324), we get a palindrome (423444324).

The spelling of 423420000 in words is "four hundred twenty-three million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7057 7500 10000 12000 14114 15000 20000 21171 28228 30000 35285 42342 56456 60000 70570 84684 105855 112912 141140 169368 176425 211710 225824 282280 338736 352850 423420 529275 564560 677472 705700 846840 882125 1058550 1129120 1411400 1693680 1764250 2117100 2646375 2822800 3387360 3528500 4234200 4410625 5292750 5645600 7057000 8468400 8821250 10585500 13231875 14114000 16936800 17642500 21171000 26463750 28228000 35285000 42342000 52927500 70570000 84684000 105855000 141140000 211710000 423420000