Search a number
-
+
5411357300 = 2252377120599
BaseRepresentation
bin1010000101000101…
…01100001001110100
3111222010102102200202
411002202230021310
542040301413200
62252544100032
7251045530616
oct50242541164
914863372622
105411357300
11232762a918
121070304618
1368314878b
14394980db6
1521a1101d5
hex1428ac274

5411357300 has 72 divisors (see below), whose sum is σ = 12230467200. Its totient is φ = 2076278400.

The previous prime is 5411357299. The next prime is 5411357321. The reversal of 5411357300 is 37531145.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 252401 + ... + 272999.

It is an arithmetic number, because the mean of its divisors is an integer number (169867600).

Almost surely, 25411357300 is an apocalyptic number.

5411357300 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 5411357300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115233600).

5411357300 is an abundant number, since it is smaller than the sum of its proper divisors (6819109900).

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

5411357300 is a wasteful number, since it uses less digits than its factorization.

5411357300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721 (or 20714 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 5411357300 is about 73561.9283325281. The cubic root of 5411357300 is about 1755.6397426350.

Adding to 5411357300 its reverse (37531145), we get a palindrome (5448888445).

The spelling of 5411357300 in words is "five billion, four hundred eleven million, three hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 71 74 100 142 148 185 284 355 370 710 740 925 1420 1775 1850 2627 3550 3700 5254 7100 10508 13135 20599 26270 41198 52540 65675 82396 102995 131350 205990 262700 411980 514975 762163 1029950 1462529 1524326 2059900 2925058 3048652 3810815 5850116 7312645 7621630 14625290 15243260 19054075 29250580 36563225 38108150 54113573 73126450 76216300 108227146 146252900 216454292 270567865 541135730 1082271460 1352839325 2705678650 5411357300