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2020013000 = 23534742979
BaseRepresentation
bin111100001100110…
…1111001111001000
312012210000021220022
41320121233033020
513114110404000
6532235520012
7101025553505
oct17031571710
95183007808
102020013000
11947276735
124845b9008
13262663685
141523c84ac
15bc517585
hex7866f3c8

2020013000 has 64 divisors (see below), whose sum is σ = 4827513600. Its totient is φ = 790795200.

The previous prime is 2020012997. The next prime is 2020013011. The reversal of 2020013000 is 3100202.

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

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 15 ways as a sum of consecutive naturals, for example, 25511 + ... + 68489.

It is an arithmetic number, because the mean of its divisors is an integer number (75429900).

Almost surely, 22020013000 is an apocalyptic number.

2020013000 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 2020013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413756800).

2020013000 is an abundant number, since it is smaller than the sum of its proper divisors (2807500600).

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

2020013000 is a wasteful number, since it uses less digits than its factorization.

2020013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43047 (or 43033 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2020013000 is about 44944.5547313576. The cubic root of 2020013000 is about 1264.1095766379.

Adding to 2020013000 its reverse (3100202), we get a palindrome (2023113202).

The spelling of 2020013000 in words is "two billion, twenty million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11750 23500 42979 47000 85958 171916 214895 343832 429790 859580 1074475 1719160 2020013 2148950 4040026 4297900 5372375 8080052 8595800 10100065 10744750 16160104 20200130 21489500 40400260 42979000 50500325 80800520 101000650 202001300 252501625 404002600 505003250 1010006500 2020013000