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2020033120 = 25576013001
BaseRepresentation
bin111100001100111…
…0100001001100000
312012210001022111111
41320121310021200
513114112024440
6532240153104
7101025666250
oct17031641140
95183038444
102020033120
1194728a866
12484608794
1326266c891
141523d1960
15bc51d4ea
hex78674260

2020033120 has 96 divisors (see below), whose sum is σ = 5464984896. Its totient is φ = 691200000.

The previous prime is 2020033111. The next prime is 2020033133. The reversal of 2020033120 is 213300202.

It is a happy number.

2020033120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2020033120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671620 + ... + 674620.

It is an arithmetic number, because the mean of its divisors is an integer number (56926926).

Almost surely, 22020033120 is an apocalyptic number.

2020033120 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 2020033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732492448).

2020033120 is an abundant number, since it is smaller than the sum of its proper divisors (3444951776).

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

2020033120 is a wasteful number, since it uses less digits than its factorization.

2020033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2020033120 is about 44944.7785621422. The cubic root of 2020033120 is about 1264.1137736076.

Adding to 2020033120 its reverse (213300202), we get a palindrome (2233333322).

The spelling of 2020033120 in words is "two billion, twenty million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 601 1120 1202 2404 3001 3005 4207 4808 6002 6010 8414 9616 12004 12020 15005 16828 19232 21007 21035 24008 24040 30010 33656 42014 42070 48016 48080 60020 67312 84028 84140 96032 96160 105035 120040 134624 168056 168280 210070 240080 336112 336560 420140 480160 672224 673120 840280 1680560 1803601 3361120 3607202 7214404 9018005 12625207 14428808 18036010 25250414 28857616 36072020 50500828 57715232 63126035 72144040 101001656 126252070 144288080 202003312 252504140 288576160 404006624 505008280 1010016560 2020033120