Search a number
-
+
1421304000 = 2635359221
BaseRepresentation
bin101010010110111…
…0110000011000000
310200001102201112220
41110231312003000
510402323212000
6353011251040
750135612304
oct12455660300
93601381486
101421304000
1166a31a806
12337ba9a80
131985ca5ac
14d6a99d04
1584ba21a0
hex54b760c0

1421304000 has 112 divisors (see below), whose sum is σ = 4693225056. Its totient is φ = 379008000.

The previous prime is 1421303993. The next prime is 1421304011. The reversal of 1421304000 is 4031241.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5611 + ... + 53610.

Almost surely, 21421304000 is an apocalyptic number.

1421304000 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 1421304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346612528).

1421304000 is an abundant number, since it is smaller than the sum of its proper divisors (3271921056).

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

1421304000 is an equidigital number, since it uses as much as digits as its factorization.

1421304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59251 (or 59231 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1421304000 is about 37700.1856759353. The cubic root of 1421304000 is about 1124.3348166484.

Adding to 1421304000 its reverse (4031241), we get a palindrome (1425335241).

The spelling of 1421304000 in words is "one billion, four hundred twenty-one million, three hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 59221 118442 177663 236884 296105 355326 473768 592210 710652 888315 947536 1184420 1421304 1480525 1776630 1895072 2368840 2842608 2961050 3553260 3790144 4441575 4737680 5685216 5922100 7106520 7402625 8883150 9475360 11370432 11844200 14213040 14805250 17766300 18950720 22207875 23688400 28426080 29610500 35532600 44415750 47376800 56852160 59221000 71065200 88831500 94753600 118442000 142130400 177663000 236884000 284260800 355326000 473768000 710652000 1421304000