Search a number
-
+
5307541100 = 2252177143973
BaseRepresentation
bin1001111000101101…
…01010011001101100
3111200220002000122022
410330112222121230
541332212303400
62234355005312
7245345232521
oct47426523154
914626060568
105307541100
112283a72204
121041599838
13667799c84
14384c79148
15210e54b85
hex13c5aa66c

5307541100 has 72 divisors (see below), whose sum is σ = 12366895968. Its totient is φ = 1969945600.

The previous prime is 5307541091. The next prime is 5307541103. The reversal of 5307541100 is 11457035.

It is a self number, because there is not a number n which added to its sum of digits gives 5307541100.

It is not an unprimeable number, because it can be changed into a prime (5307541103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98714 + ... + 142686.

It is an arithmetic number, because the mean of its divisors is an integer number (171762444).

Almost surely, 25307541100 is an apocalyptic number.

5307541100 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 5307541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183447984).

5307541100 is an abundant number, since it is smaller than the sum of its proper divisors (7059354868).

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

5307541100 is a wasteful number, since it uses less digits than its factorization.

5307541100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44075 (or 44068 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 5307541100 is about 72852.8729701170. The cubic root of 5307541100 is about 1744.3399281807.

Adding to 5307541100 its reverse (11457035), we get a palindrome (5318998135).

The spelling of 5307541100 in words is "five billion, three hundred seven million, five hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 100 142 170 284 340 355 425 710 850 1207 1420 1700 1775 2414 3550 4828 6035 7100 12070 24140 30175 43973 60350 87946 120700 175892 219865 439730 747541 879460 1099325 1495082 2198650 2990164 3122083 3737705 4397300 6244166 7475410 12488332 14950820 15610415 18688525 31220830 37377050 53075411 62441660 74754100 78052075 106150822 156104150 212301644 265377055 312208300 530754110 1061508220 1326885275 2653770550 5307541100