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2130452000 = 25531035171
BaseRepresentation
bin111111011111100…
…0001111000100000
312111110211011201122
41332333001320200
513330343431000
6551222551412
7103536354215
oct17677017040
95443734648
102130452000
119a3648136
124b5598568
1327c4c07b1
14162d35b0c
15c7080085
hex7efc1e20

2130452000 has 96 divisors (see below), whose sum is σ = 5286363264. Its totient is φ = 843744000.

The previous prime is 2130451987. The next prime is 2130452021. The reversal of 2130452000 is 2540312.

It is a self number, because there is not a number n which added to its sum of digits gives 2130452000.

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 15 ways as a sum of consecutive naturals, for example, 409415 + ... + 414585.

It is an arithmetic number, because the mean of its divisors is an integer number (55066284).

Almost surely, 22130452000 is an apocalyptic number.

2130452000 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 2130452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643181632).

2130452000 is an abundant number, since it is smaller than the sum of its proper divisors (3155911264).

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

2130452000 is a wasteful number, since it uses less digits than its factorization.

2130452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2130452000 is about 46156.8196478050. The cubic root of 2130452000 is about 1286.7393565324.

Adding to 2130452000 its reverse (2540312), we get a palindrome (2132992312).

The spelling of 2130452000 in words is "two billion, one hundred thirty million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 800 824 1000 1030 1648 2000 2060 2575 3296 4000 4120 5150 5171 8240 10300 10342 12875 16480 20600 20684 25750 25855 41200 41368 51500 51710 82400 82736 103000 103420 129275 165472 206000 206840 258550 412000 413680 517100 532613 646375 827360 1034200 1065226 1292750 2068400 2130452 2585500 2663065 4136800 4260904 5171000 5326130 8521808 10342000 10652260 13315325 17043616 20684000 21304520 26630650 42609040 53261300 66576625 85218080 106522600 133153250 213045200 266306500 426090400 532613000 1065226000 2130452000