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2020044400 = 245211974733
BaseRepresentation
bin111100001100111…
…0110111001110000
312012210001212222021
41320121312321300
513114112410100
6532240321224
7101026044163
oct17031667160
95183055867
102020044400
11947298290
12484613214
13262674a5a
141523d5ada
15bc521a1a
hex78676e70

2020044400 has 120 divisors (see below), whose sum is σ = 5350063824. Its totient is φ = 726835200.

The previous prime is 2020044379. The next prime is 2020044449. The reversal of 2020044400 is 44400202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424434 + ... + 429166.

Almost surely, 22020044400 is an apocalyptic number.

2020044400 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 2020044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675031912).

2020044400 is an abundant number, since it is smaller than the sum of its proper divisors (3330019424).

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

2020044400 is a wasteful number, since it uses less digits than its factorization.

2020044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2020044400 is about 44944.9040492913. The cubic root of 2020044400 is about 1264.1161265685.

Adding to 2020044400 its reverse (44400202), we get a palindrome (2064444602).

The spelling of 2020044400 in words is "two billion, twenty million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 97 100 110 176 194 200 220 275 388 400 440 485 550 776 880 970 1067 1100 1552 1940 2134 2200 2425 3880 4268 4400 4733 4850 5335 7760 8536 9466 9700 10670 17072 18932 19400 21340 23665 26675 37864 38800 42680 47330 52063 53350 75728 85360 94660 104126 106700 118325 189320 208252 213400 236650 260315 378640 416504 426800 459101 473300 520630 833008 918202 946600 1041260 1301575 1836404 1893200 2082520 2295505 2603150 3672808 4165040 4591010 5050111 5206300 7345616 9182020 10100222 10412600 11477525 18364040 20200444 20825200 22955050 25250555 36728080 40400888 45910100 50501110 80801776 91820200 101002220 126252775 183640400 202004440 252505550 404008880 505011100 1010022200 2020044400