Search a number
-
+
5714206300 = 225211191012707
BaseRepresentation
bin1010101001001011…
…11101111001011100
3112202020021202102101
411110211331321130
543200314100200
62343003134444
7261413644405
oct52445757134
915666252371
105714206300
11247257a850
121135814424
13700b0327a
143c2c969ac
152369d326a
hex15497de5c

5714206300 has 144 divisors (see below), whose sum is σ = 14385329280. Its totient is φ = 1948320000.

The previous prime is 5714206283. The next prime is 5714206301. The reversal of 5714206300 is 36024175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5714206301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2109547 + ... + 2112253.

It is an arithmetic number, because the mean of its divisors is an integer number (99898120).

Almost surely, 25714206300 is an apocalyptic number.

5714206300 is a gapful number since it is divisible by the number (50) 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 5714206300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192664640).

5714206300 is an abundant number, since it is smaller than the sum of its proper divisors (8671122980).

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

5714206300 is a wasteful number, since it uses less digits than its factorization.

5714206300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5714206300 is about 75592.3693238941. The cubic root of 5714206300 is about 1787.7987881385.

The spelling of 5714206300 in words is "five billion, seven hundred fourteen million, two hundred six thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 101 110 190 202 209 220 275 380 404 418 475 505 550 836 950 1010 1045 1100 1111 1900 1919 2020 2090 2222 2525 2707 3838 4180 4444 5050 5225 5414 5555 7676 9595 10100 10450 10828 11110 13535 19190 20900 21109 22220 27070 27775 29777 38380 42218 47975 51433 54140 55550 59554 67675 84436 95950 102866 105545 111100 119108 135350 148885 191900 205732 211090 257165 270700 273407 297770 422180 514330 527725 546814 565763 595540 744425 1028660 1055450 1093628 1131526 1285825 1367035 1488850 2110900 2263052 2571650 2734070 2828815 2977700 3007477 5143300 5194733 5468140 5657630 6014954 6835175 10389466 11315260 12029908 13670350 14144075 15037385 20778932 25973665 27340700 28288150 30074770 51947330 56576300 57142063 60149540 75186925 103894660 114284126 129868325 150373850 228568252 259736650 285710315 300747700 519473300 571420630 1142841260 1428551575 2857103150 5714206300