Search a number
-
+
2000023460 = 2254112791907
BaseRepresentation
bin111011100110101…
…1110111110100100
312011101101201101222
41313031132332210
513044001222320
6530243235512
7100363630121
oct16715367644
95141351358
102000023460
11936a63256
12479978b98
1325b484c46
1414d8a3748
15ba8b9825
hex7735efa4

2000023460 has 48 divisors (see below), whose sum is σ = 4308111360. Its totient is φ = 779477760.

The previous prime is 2000023427. The next prime is 2000023469. The reversal of 2000023460 is 643200002.

It is not an unprimeable number, because it can be changed into a prime (2000023469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047827 + ... + 1049733.

It is an arithmetic number, because the mean of its divisors is an integer number (89752320).

Almost surely, 22000023460 is an apocalyptic number.

2000023460 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 2000023460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154055680).

2000023460 is an abundant number, since it is smaller than the sum of its proper divisors (2308087900).

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

2000023460 is a wasteful number, since it uses less digits than its factorization.

2000023460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2000023460 is about 44721.6218400004. The cubic root of 2000023460 is about 1259.9259761669.

Adding to 2000023460 its reverse (643200002), we get a palindrome (2643223462).

The spelling of 2000023460 in words is "two billion, twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1279 1907 2558 3814 5116 6395 7628 9535 12790 19070 25580 38140 52439 78187 104878 156374 209756 262195 312748 390935 524390 781870 1048780 1563740 2439053 4878106 9756212 12195265 24390530 48781060 100001173 200002346 400004692 500005865 1000011730 2000023460