Search a number
-
+
5203430000 = 24544312101
BaseRepresentation
bin1001101100010011…
…00000101001110000
3111102122011122001122
410312021200221300
541124034230000
62220155321412
7242642265566
oct46611405160
914378148048
105203430000
112230222a7a
121012750268
1364c047182
143750d7a36
15206c3c085
hex136260a70

5203430000 has 100 divisors (see below), whose sum is σ = 12892066968. Its totient is φ = 2032800000.

The previous prime is 5203429997. The next prime is 5203430027. The reversal of 5203430000 is 343025.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 423950 + ... + 436050.

Almost surely, 25203430000 is an apocalyptic number.

5203430000 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 5203430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446033484).

5203430000 is an abundant number, since it is smaller than the sum of its proper divisors (7688636968).

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

5203430000 is a wasteful number, since it uses less digits than its factorization.

5203430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 5203430000 is about 72134.8043596155. The cubic root of 5203430000 is about 1732.8590500520.

Adding to 5203430000 its reverse (343025), we get a palindrome (5203773025).

It can be divided in two parts, 5203 and 430000, that multiplied together give a square (2237290000 = 473002).

The spelling of 5203430000 in words is "five billion, two hundred three million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 5000 5375 8600 10000 10750 12101 17200 21500 24202 26875 43000 48404 53750 60505 86000 96808 107500 121010 193616 215000 242020 302525 430000 484040 520343 605050 968080 1040686 1210100 1512625 2081372 2420200 2601715 3025250 4162744 4840400 5203430 6050500 7563125 8325488 10406860 12101000 13008575 15126250 20813720 24202000 26017150 30252500 41627440 52034300 60505000 65042875 104068600 121010000 130085750 208137200 260171500 325214375 520343000 650428750 1040686000 1300857500 2601715000 5203430000