Search a number
-
+
2000807940 = 223533346799
BaseRepresentation
bin111011101000001…
…1110100000000100
312011102212120111210
41313100132200010
513044201323230
6530312131420
7100403405205
oct16720364004
95142776453
102000807940
1193744968a
1247a096b70
1325b69b031
1414da295ac
15ba9c1eb0
hex7741e804

2000807940 has 24 divisors (see below), whose sum is σ = 5602262400. Its totient is φ = 533548768.

The previous prime is 2000807867. The next prime is 2000807951. The reversal of 2000807940 is 497080002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2000807898 and 2000807907.

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 7 ways as a sum of consecutive naturals, for example, 16673340 + ... + 16673459.

It is an arithmetic number, because the mean of its divisors is an integer number (233427600).

Almost surely, 22000807940 is an apocalyptic number.

2000807940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000807940 is an abundant number, since it is smaller than the sum of its proper divisors (3601454460).

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

2000807940 is a wasteful number, since it uses less digits than its factorization.

2000807940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33346811 (or 33346809 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2000807940 is about 44730.3916817190. The cubic root of 2000807940 is about 1260.0906838234.

Adding to 2000807940 its reverse (497080002), we get a palindrome (2497887942).

The spelling of 2000807940 in words is "two billion, eight hundred seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 33346799 66693598 100040397 133387196 166733995 200080794 333467990 400161588 500201985 666935980 1000403970 2000807940