Search a number
-
+
2000440000 = 2654133847
BaseRepresentation
bin111011100111100…
…0100101011000000
312011102011212210101
41313033010223000
513044103040000
6530300212144
7100400313406
oct16717045300
95142155711
102000440000
119372181a9
12479b3a054
1325b59c710
1414d971476
15ba94ce6a
hex773c4ac0

2000440000 has 140 divisors (see below), whose sum is σ = 5343402064. Its totient is φ = 738432000.

The previous prime is 2000439989. The next prime is 2000440051. The reversal of 2000440000 is 440002.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 518077 + ... + 521923.

Almost surely, 22000440000 is an apocalyptic number.

2000440000 is a gapful number since it is divisible by the number (20) 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 2000440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671701032).

2000440000 is an abundant number, since it is smaller than the sum of its proper divisors (3342962064).

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

2000440000 is an equidigital number, since it uses as much as digits as its factorization.

2000440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2000440000 is about 44726.2786290118. The cubic root of 2000440000 is about 1260.0134373305.

Adding to 2000440000 its reverse (440002), we get a palindrome (2000880002).

The spelling of 2000440000 in words is "two billion, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 3847 4000 4160 5000 5200 6500 7694 8000 8125 10000 10400 13000 15388 16250 19235 20000 20800 26000 30776 32500 38470 40000 50011 52000 61552 65000 76940 96175 100022 104000 123104 130000 153880 192350 200044 246208 250055 260000 307760 384700 400088 480875 500110 520000 615520 769400 800176 961750 1000220 1231040 1250275 1538800 1600352 1923500 2000440 2404375 2500550 3077600 3200704 3847000 4000880 4808750 5001100 6155200 6251375 7694000 8001760 9617500 10002200 12502750 15388000 16003520 19235000 20004400 25005500 30776000 31256875 38470000 40008800 50011000 62513750 76940000 80017600 100022000 125027500 153880000 200044000 250055000 400088000 500110000 1000220000 2000440000