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2000104020 = 2232513738093
BaseRepresentation
bin111011100110111…
…0010101001010100
312011101112210220200
41313031302221110
513044011312040
6530245100500
7100364414025
oct16715625124
95141483820
102000104020
11937008832
124799b7730
1325b4b2805
1414d8c4c4c
15ba8d3630
hex77372a54

2000104020 has 72 divisors (see below), whose sum is σ = 6072151176. Its totient is φ = 532906752.

The previous prime is 2000104019. The next prime is 2000104049. The reversal of 2000104020 is 204010002.

It can be written as a sum of positive squares in 4 ways, for example, as 692847684 + 1307256336 = 26322^2 + 36156^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000103993 and 2000104011.

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, 243094 + ... + 251186.

It is an arithmetic number, because the mean of its divisors is an integer number (84335433).

Almost surely, 22000104020 is an apocalyptic number.

2000104020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000104020 is an abundant number, since it is smaller than the sum of its proper divisors (4072047156).

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

2000104020 is a wasteful number, since it uses less digits than its factorization.

2000104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9481 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2000104020 is about 44722.5225138297. The cubic root of 2000104020 is about 1259.9428923475.

Adding to 2000104020 its reverse (204010002), we get a palindrome (2204114022).

The spelling of 2000104020 in words is "two billion, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1373 2746 4119 5492 6865 8093 8238 12357 13730 16186 16476 20595 24279 24714 27460 32372 40465 41190 48558 49428 61785 72837 80930 82380 97116 121395 123570 145674 161860 242790 247140 291348 364185 485580 728370 1456740 11111689 22223378 33335067 44446756 55558445 66670134 100005201 111116890 133340268 166675335 200010402 222233780 333350670 400020804 500026005 666701340 1000052010 2000104020