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2020040000 = 2654114591
BaseRepresentation
bin111100001100111…
…0101110101000000
312012210001122221022
41320121311311000
513114112240000
6532240245012
7101026025306
oct17031656500
95183048838
102020040000
11947294a50
12484610768
13262672a54
141523d4276
15bc520585
hex78675d40

2020040000 has 140 divisors (see below), whose sum is σ = 5465600448. Its totient is φ = 734400000.

The previous prime is 2020039999. The next prime is 2020040041. The reversal of 2020040000 is 400202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2020040000.

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, 437705 + ... + 442295.

Almost surely, 22020040000 is an apocalyptic number.

2020040000 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 2020040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732800224).

2020040000 is an abundant number, since it is smaller than the sum of its proper divisors (3445560448).

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

2020040000 is an equidigital number, since it uses as much as digits as its factorization.

2020040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2020040000 is about 44944.8551004450. The cubic root of 2020040000 is about 1264.1152087479.

Adding to 2020040000 its reverse (400202), we get a palindrome (2020440202).

The spelling of 2020040000 in words is "two billion, twenty million, forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 4591 5000 5500 6875 8000 8800 9182 10000 11000 13750 17600 18364 20000 22000 22955 27500 36728 40000 44000 45910 50501 55000 73456 88000 91820 101002 110000 114775 146912 183640 202004 220000 229550 252505 293824 367280 404008 440000 459100 505010 573875 734560 808016 918200 1010020 1147750 1262525 1469120 1616032 1836400 2020040 2295500 2525050 2869375 3232064 3672800 4040080 4591000 5050100 5738750 6312625 7345600 8080160 9182000 10100200 11477500 12625250 16160320 18364000 20200400 22955000 25250500 31563125 36728000 40400800 45910000 50501000 63126250 80801600 91820000 101002000 126252500 183640000 202004000 252505000 404008000 505010000 1010020000 2020040000