Search a number
-
+
2148387800 = 235213826303
BaseRepresentation
bin1000000000001101…
…1100101111011000
312112201120102000112
42000003130233120
513344441402200
6553103223452
7104144665166
oct20003345730
95481512015
102148387800
11a02788609
124bb5a7b88
132831304b0
14165484236
15c8924535
hex800dcbd8

2148387800 has 48 divisors (see below), whose sum is σ = 5379239040. Its totient is φ = 793249920.

The previous prime is 2148387781. The next prime is 2148387809. The reversal of 2148387800 is 87838412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148387809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410552 + ... + 415751.

It is an arithmetic number, because the mean of its divisors is an integer number (112067480).

Almost surely, 22148387800 is an apocalyptic number.

2148387800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148387800 is an abundant number, since it is smaller than the sum of its proper divisors (3230851240).

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

2148387800 is a wasteful number, since it uses less digits than its factorization.

2148387800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826332 (or 826323 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 2148387800 is about 46350.7044175167. The cubic root of 2148387800 is about 1290.3401943147.

The spelling of 2148387800 in words is "two billion, one hundred forty-eight million, three hundred eighty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 826303 1652606 3305212 4131515 6610424 8263030 10741939 16526060 20657575 21483878 33052120 41315150 42967756 53709695 82630300 85935512 107419390 165260600 214838780 268548475 429677560 537096950 1074193900 2148387800