Search a number
-
+
1814939300 = 2252167191569
BaseRepresentation
bin110110000101101…
…1100011010100100
311200111010110200002
41230023130122210
512204111024200
6500032240432
762655505136
oct15413343244
94614113602
101814939300
11851538839
124279a0118
1322c020ba5
14133085056
15a9509bd5
hex6c2dc6a4

1814939300 has 72 divisors (see below), whose sum is σ = 3989744640. Its totient is φ = 716588800.

The previous prime is 1814939257. The next prime is 1814939317. The reversal of 1814939300 is 39394181.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3189416 + ... + 3189984.

It is an arithmetic number, because the mean of its divisors is an integer number (55413120).

Almost surely, 21814939300 is an apocalyptic number.

1814939300 is a gapful number since it is divisible by the number (10) 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 1814939300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

1814939300 is an abundant number, since it is smaller than the sum of its proper divisors (2174805340).

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

1814939300 is a wasteful number, since it uses less digits than its factorization.

1814939300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 1814939300 is about 42602.1044081158. The cubic root of 1814939300 is about 1219.7964589220.

The spelling of 1814939300 in words is "one billion, eight hundred fourteen million, nine hundred thirty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 191 334 382 569 668 764 835 955 1138 1670 1910 2276 2845 3340 3820 4175 4775 5690 8350 9550 11380 14225 16700 19100 28450 31897 56900 63794 95023 108679 127588 159485 190046 217358 318970 380092 434716 475115 543395 637940 797425 950230 1086790 1594850 1900460 2173580 2375575 2716975 3189700 4751150 5433950 9502300 10867900 18149393 36298786 72597572 90746965 181493930 362987860 453734825 907469650 1814939300