Search a number
-
+
6398240000 = 285439989
BaseRepresentation
bin1011111010101110…
…10110010100000000
3121111220102021020212
411331113112110000
5101100422140000
62534520253252
7314361066635
oct57527262400
917456367225
106398240000
112793704459
1212a6911228
137ac742239
14449a7618c
15276a9ec35
hex17d5d6500

6398240000 has 90 divisors (see below), whose sum is σ = 15959649090. Its totient is φ = 2559232000.

The previous prime is 6398239963. The next prime is 6398240029. The reversal of 6398240000 is 428936.

It can be written as a sum of positive squares in 5 ways, for example, as 3714171136 + 2684068864 = 60944^2 + 51808^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 140006 + ... + 179994.

Almost surely, 26398240000 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 6398240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979824545).

6398240000 is an abundant number, since it is smaller than the sum of its proper divisors (9561409090).

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

6398240000 is an frugal number, since it uses more digits than its factorization.

6398240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40025 (or 39996 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 6398240000 is about 79988.9992436460. Note that the first 3 decimals coincide. The cubic root of 6398240000 is about 1856.4653262513.

Adding to 6398240000 its reverse (428936), we get a palindrome (6398668936).

The spelling of 6398240000 in words is "six billion, three hundred ninety-eight million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 39989 40000 79978 80000 159956 160000 199945 319912 399890 639824 799780 999725 1279648 1599560 1999450 2559296 3199120 3998900 4998625 5118592 6398240 7997800 9997250 10237184 12796480 15995600 19994500 24993125 25592960 31991200 39989000 49986250 51185920 63982400 79978000 99972500 127964800 159956000 199945000 255929600 319912000 399890000 639824000 799780000 1279648000 1599560000 3199120000 6398240000