Search a number
-
+
2001900276 = 2232294146769
BaseRepresentation
bin111011101010010…
…1001001011110100
312011111221001220200
41313110221023310
513044441302101
6530351400500
7100415604645
oct16724511364
95144831820
102001900276
11938025342
1247a523130
1325b99129c
1414dc316cc
15bab3a986
hex775292f4

2001900276 has 72 divisors (see below), whose sum is σ = 5362648200. Its totient is φ = 628561920.

The previous prime is 2001900239. The next prime is 2001900283. The reversal of 2001900276 is 6720091002.

2001900276 is a `hidden beast` number, since 200 + 190 + 0 + 276 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1664100 + 2000236176 = 1290^2 + 44724^2 .

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, 19420 + ... + 66188.

It is an arithmetic number, because the mean of its divisors is an integer number (74481225).

Almost surely, 22001900276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001900276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681324100).

2001900276 is an abundant number, since it is smaller than the sum of its proper divisors (3360747924).

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

2001900276 is a wasteful number, since it uses less digits than its factorization.

2001900276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46849 (or 46844 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2001900276 is about 44742.6002373577. The cubic root of 2001900276 is about 1260.3199565383.

Adding to 2001900276 its reverse (6720091002), we get a palindrome (8721991278).

The spelling of 2001900276 in words is "two billion, one million, nine hundred thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 82 87 116 123 164 174 246 261 348 369 492 522 738 1044 1189 1476 2378 3567 4756 7134 10701 14268 21402 42804 46769 93538 140307 187076 280614 420921 561228 841842 1356301 1683684 1917529 2712602 3835058 4068903 5425204 5752587 7670116 8137806 11505174 12206709 16275612 17257761 23010348 24413418 34515522 48826836 55608341 69031044 111216682 166825023 222433364 333650046 500475069 667300092 1000950138 2001900276