Search a number
-
+
5304723900 = 2235279912549
BaseRepresentation
bin1001111000010111…
…11010100110111100
3111200200202220011120
410330023322212330
541331002131100
62234214350540
7245312260230
oct47413724674
914620686146
105304723900
112282418643
12104065b450
136670218a8
143847445c0
15210a9a0a0
hex13c2fa9bc

5304723900 has 144 divisors (see below), whose sum is σ = 17565542400. Its totient is φ = 1210809600.

The previous prime is 5304723889. The next prime is 5304723947. The reversal of 5304723900 is 93274035.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 2079826 + ... + 2082374.

Almost surely, 25304723900 is an apocalyptic number.

5304723900 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 5304723900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782771200).

5304723900 is an abundant number, since it is smaller than the sum of its proper divisors (12260818500).

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

5304723900 is a wasteful number, since it uses less digits than its factorization.

5304723900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 5304723900 is about 72833.5355451045. The cubic root of 5304723900 is about 1744.0312463715.

Adding to 5304723900 its reverse (93274035), we get a palindrome (5397997935).

The spelling of 5304723900 in words is "five billion, three hundred four million, seven hundred twenty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 991 1050 1982 2100 2549 2973 3964 4955 5098 5946 6937 7647 9910 10196 11892 12745 13874 14865 15294 17843 19820 20811 24775 25490 27748 29730 30588 34685 35686 38235 41622 49550 50980 53529 59460 63725 69370 71372 74325 76470 83244 89215 99100 104055 107058 127450 138740 148650 152940 173425 178430 191175 208110 214116 254900 267645 297300 346850 356860 382350 416220 446075 520275 535290 693700 764700 892150 1040550 1070580 1338225 1784300 2081100 2526059 2676450 5052118 5352900 7578177 10104236 12630295 15156354 17682413 25260590 30312708 35364826 37890885 50521180 53047239 63151475 70729652 75781770 88412065 106094478 126302950 151563540 176824130 189454425 212188956 252605900 265236195 353648260 378908850 442060325 530472390 757817700 884120650 1060944780 1326180975 1768241300 2652361950 5304723900