[go: up one dir, main page]

Search a number
-
+
5185081100 = 2252292397481
BaseRepresentation
bin1001101010000111…
…00000111100001100
3111101100122102002202
410311003200330030
541104340043400
62214302141032
7242330314343
oct46503407414
914340572082
105185081100
1122209301a1
121008581778
136482c1434
143728bcb5a
152053154d5
hex1350e0f0c

5185081100 has 72 divisors (see below), whose sum is σ = 11689876800. Its totient is φ = 1993868800.

The previous prime is 5185081093. The next prime is 5185081127. The reversal of 5185081100 is 11805815.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 689360 + ... + 696840.

It is an arithmetic number, because the mean of its divisors is an integer number (162359400).

Almost surely, 25185081100 is an apocalyptic number.

5185081100 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 5185081100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844938400).

5185081100 is an abundant number, since it is smaller than the sum of its proper divisors (6504795700).

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

5185081100 is a wasteful number, since it uses less digits than its factorization.

5185081100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 29.

The square root of 5185081100 is about 72007.5072475086. The cubic root of 5185081100 is about 1730.8197858838.

Adding to 5185081100 its reverse (11805815), we get a palindrome (5196886915).

The spelling of 5185081100 in words is "five billion, one hundred eighty-five million, eighty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 239 290 478 580 725 956 1195 1450 2390 2900 4780 5975 6931 7481 11950 13862 14962 23900 27724 29924 34655 37405 69310 74810 138620 149620 173275 187025 216949 346550 374050 433898 693100 748100 867796 1084745 1787959 2169490 3575918 4338980 5423725 7151836 8939795 10847450 17879590 21694900 35759180 44698975 51850811 89397950 103701622 178795900 207403244 259254055 518508110 1037016220 1296270275 2592540550 5185081100