Search a number
-
+
2000130 = 2351121929
BaseRepresentation
bin111101000010100000010
310202121122220
413220110002
51003001010
6110511510
723000166
oct7502402
93677586
102000130
111146800
12805596
13550512
143a0ca6
15297970
hex1e8502

2000130 has 96 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 443520.

The previous prime is 2000113. The next prime is 2000143. The reversal of 2000130 is 310002.

2000130 = T20 + T21 + ... + T228.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68956 + ... + 68984.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

22000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2000130 is an abundant number, since it is smaller than the sum of its proper divisors (3745470).

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

2000130 is a wasteful number, since it uses less digits than its factorization.

2000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2000130 is about 1414.2595235670. The cubic root of 2000130 is about 125.9948347593.

Adding to 2000130 its reverse (310002), we get a palindrome (2310132).

The spelling of 2000130 in words is "two million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 19 22 29 30 33 38 55 57 58 66 87 95 110 114 121 145 165 174 190 209 242 285 290 319 330 363 418 435 551 570 605 627 638 726 870 957 1045 1102 1210 1254 1595 1653 1815 1914 2090 2299 2755 3135 3190 3306 3509 3630 4598 4785 5510 6061 6270 6897 7018 8265 9570 10527 11495 12122 13794 16530 17545 18183 21054 22990 30305 34485 35090 36366 52635 60610 66671 68970 90915 105270 133342 181830 200013 333355 400026 666710 1000065 2000130