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2134004200 = 235210670021
BaseRepresentation
bin111111100110010…
…0101000111101000
312111201111122102121
41333030211013220
513332301113300
6551431041024
7103611510406
oct17714450750
95451448377
102134004200
119a5653a39
124b6810174
132801655a3
141635bc476
15c753281a
hex7f3251e8

2134004200 has 24 divisors (see below), whose sum is σ = 4961560230. Its totient is φ = 853601600.

The previous prime is 2134004189. The next prime is 2134004207. The reversal of 2134004200 is 24004312.

It can be written as a sum of positive squares in 3 ways, for example, as 1205339524 + 928664676 = 34718^2 + 30474^2 .

It is not an unprimeable number, because it can be changed into a prime (2134004207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5334811 + ... + 5335210.

Almost surely, 22134004200 is an apocalyptic number.

2134004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134004200 is an abundant number, since it is smaller than the sum of its proper divisors (2827556030).

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

2134004200 is a wasteful number, since it uses less digits than its factorization.

2134004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670037 (or 10670028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2134004200 is about 46195.2833090133. The cubic root of 2134004200 is about 1287.4541058829.

Adding to 2134004200 its reverse (24004312), we get a palindrome (2158008512).

The spelling of 2134004200 in words is "two billion, one hundred thirty-four million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10670021 21340042 42680084 53350105 85360168 106700210 213400420 266750525 426800840 533501050 1067002100 2134004200