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1424203000 = 235311433011
BaseRepresentation
bin101010011100011…
…1001110011111000
310200020220000020021
41110320321303320
510404043444000
6353153340224
750202345223
oct12470716370
93606800207
101424203000
11670a1a880
12338b67674
131990a3c8c
14d72125ba
158507611a
hex54e39cf8

1424203000 has 128 divisors (see below), whose sum is σ = 3721386240. Its totient is φ = 505680000.

The previous prime is 1424202971. The next prime is 1424203037. The reversal of 1424203000 is 3024241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471495 + ... + 474505.

It is an arithmetic number, because the mean of its divisors is an integer number (29073330).

Almost surely, 21424203000 is an apocalyptic number.

1424203000 is a gapful number since it is divisible by the number (10) 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 1424203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860693120).

1424203000 is an abundant number, since it is smaller than the sum of its proper divisors (2297183240).

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

1424203000 is a wasteful number, since it uses less digits than its factorization.

1424203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1424203000 is about 37738.6141769938. The cubic root of 1424203000 is about 1125.0987238466.

Adding to 1424203000 its reverse (3024241), we get a palindrome (1427227241).

The spelling of 1424203000 in words is "one billion, four hundred twenty-four million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 344 430 440 473 500 550 860 946 1000 1075 1100 1375 1720 1892 2150 2200 2365 2750 3011 3784 4300 4730 5375 5500 6022 8600 9460 10750 11000 11825 12044 15055 18920 21500 23650 24088 30110 33121 43000 47300 59125 60220 66242 75275 94600 118250 120440 129473 132484 150550 165605 236500 258946 264968 301100 331210 376375 473000 517892 602200 647365 662420 752750 828025 1035784 1294730 1324840 1424203 1505500 1656050 2589460 2848406 3011000 3236825 3312100 4140125 5178920 5696812 6473650 6624200 7121015 8280250 11393624 12947300 14242030 16184125 16560500 25894600 28484060 32368250 33121000 35605075 56968120 64736500 71210150 129473000 142420300 178025375 284840600 356050750 712101500 1424203000