Search a number
-
+
5703141300 = 22352173136073
BaseRepresentation
bin1010100111110111…
…10000011110110100
3112201110110121002120
411103323300132310
543140001010200
62341530035540
7261220621053
oct52373603664
915643417076
105703141300
11246730251a
121131b78bb0
136cb72aa2c
143c161639a
15235a499a0
hex153ef07b4

5703141300 has 144 divisors (see below), whose sum is σ = 18035845632. Its totient is φ = 1385164800.

The previous prime is 5703141281. The next prime is 5703141307. The reversal of 5703141300 is 31413075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5703141307) 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, 140064 + ... + 176136.

It is an arithmetic number, because the mean of its divisors is an integer number (125248928).

Almost surely, 25703141300 is an apocalyptic number.

5703141300 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 5703141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017922816).

5703141300 is an abundant number, since it is smaller than the sum of its proper divisors (12332704332).

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

5703141300 is a wasteful number, since it uses less digits than its factorization.

5703141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36138 (or 36131 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 5703141300 is about 75519.1452546968. The cubic root of 5703141300 is about 1786.6440768257.

Adding to 5703141300 its reverse (31413075), we get a palindrome (5734554375).

The spelling of 5703141300 in words is "five billion, seven hundred three million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 85 93 100 102 124 150 155 170 186 204 255 300 310 340 372 425 465 510 527 620 775 850 930 1020 1054 1275 1550 1581 1700 1860 2108 2325 2550 2635 3100 3162 4650 5100 5270 6324 7905 9300 10540 13175 15810 26350 31620 36073 39525 52700 72146 79050 108219 144292 158100 180365 216438 360730 432876 541095 613241 721460 901825 1082190 1118263 1226482 1803650 1839723 2164380 2236526 2452964 2705475 3066205 3354789 3607300 3679446 4473052 5410950 5591315 6132410 6709578 7358892 9198615 10821900 11182630 12264820 13419156 15331025 16773945 18397230 19010471 22365260 27956575 30662050 33547890 36794460 38020942 45993075 55913150 57031413 61324100 67095780 76041884 83869725 91986150 95052355 111826300 114062826 167739450 183972300 190104710 228125652 285157065 335478900 380209420 475261775 570314130 950523550 1140628260 1425785325 1901047100 2851570650 5703141300