Search a number
-
+
2040240000 = 273548501
BaseRepresentation
bin111100110011011…
…1001011110000000
312021012001221010110
41321212321132000
513134300140000
6534241231320
7101362516401
oct17146713600
95235057113
102040240000
11957731567
1248b332540
132668c6206
14154d719a8
15be1b0850
hex799b9780

2040240000 has 160 divisors (see below), whose sum is σ = 6772863240. Its totient is φ = 544000000.

The previous prime is 2040239947. The next prime is 2040240011. The reversal of 2040240000 is 420402.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 235750 + ... + 244250.

Almost surely, 22040240000 is an apocalyptic number.

2040240000 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 2040240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386431620).

2040240000 is an abundant number, since it is smaller than the sum of its proper divisors (4732623240).

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

2040240000 is an frugal number, since it uses more digits than its factorization.

2040240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8538 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2040240000 is about 45169.0159290636. The cubic root of 2040240000 is about 1268.3148750146.

Adding to 2040240000 its reverse (420402), we get a palindrome (2040660402).

The spelling of 2040240000 in words is "two billion, forty million, two hundred forty 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 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 8501 9600 10000 12000 15000 16000 17002 20000 24000 25503 30000 34004 40000 42505 48000 51006 60000 68008 80000 85010 102012 120000 127515 136016 170020 204024 212525 240000 255030 272032 340040 408048 425050 510060 544064 637575 680080 816096 850100 1020120 1062625 1088128 1275150 1360160 1632192 1700200 2040240 2125250 2550300 2720320 3187875 3264384 3400400 4080480 4250500 5100600 5313125 5440640 6375750 6800800 8160960 8501000 10201200 10626250 12751500 13601600 15939375 16321920 17002000 20402400 21252500 25503000 27203200 31878750 34004000 40804800 42505000 51006000 63757500 68008000 81609600 85010000 102012000 127515000 136016000 170020000 204024000 255030000 340040000 408048000 510060000 680080000 1020120000 2040240000