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2130203420 = 225239747741
BaseRepresentation
bin111111011111000…
…0101001100011100
312111110100112201222
41332332011030130
513330313002140
6551213352512
7103534300412
oct17676051434
95443315658
102130203420
119a34983a4
124b5498738
1327c4345c7
14162cad2b2
15c70315b5
hex7ef8531c

2130203420 has 48 divisors (see below), whose sum is σ = 4716145728. Its totient is φ = 806615040.

The previous prime is 2130203407. The next prime is 2130203431. The reversal of 2130203420 is 243020312.

It is a super-2 number, since 2×21302034202 = 9075533221159392800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20750 + ... + 68490.

It is an arithmetic number, because the mean of its divisors is an integer number (98253036).

Almost surely, 22130203420 is an apocalyptic number.

2130203420 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 2130203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358072864).

2130203420 is an abundant number, since it is smaller than the sum of its proper divisors (2585942308).

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

2130203420 is a wasteful number, since it uses less digits than its factorization.

2130203420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47870 (or 47868 counting only the distinct ones).

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

The square root of 2130203420 is about 46154.1267927365. The cubic root of 2130203420 is about 1286.6893092325.

Adding to 2130203420 its reverse (243020312), we get a palindrome (2373223732).

The spelling of 2130203420 in words is "two billion, one hundred thirty million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 970 1940 2231 4462 8924 11155 22310 44620 47741 95482 190964 238705 477410 954820 1098043 2196086 4392172 4630877 5490215 9261754 10980430 18523508 21960860 23154385 46308770 92617540 106510171 213020342 426040684 532550855 1065101710 2130203420