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5388095860 = 225729756681
BaseRepresentation
bin1010000010010011…
…11101000101110100
3111220111122121222221
411001021331011310
542013323031420
62250353332124
7250344026200
oct50111750564
914814577887
105388095860
112315492194
121064567044
1367b392a04
14391847b00
15218067caa
hex14127d174

5388095860 has 72 divisors (see below), whose sum is σ = 13298277384. Its totient is φ = 1828270080.

The previous prime is 5388095857. The next prime is 5388095863. The reversal of 5388095860 is 685908835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5388095857) and next prime (5388095863).

It can be written as a sum of positive squares in 4 ways, for example, as 460617444 + 4927478416 = 21462^2 + 70196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5388095798 and 5388095807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5388095863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66720 + ... + 123400.

It is an arithmetic number, because the mean of its divisors is an integer number (184698297).

Almost surely, 25388095860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5388095860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649138692).

5388095860 is an abundant number, since it is smaller than the sum of its proper divisors (7910181524).

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

5388095860 is a wasteful number, since it uses less digits than its factorization.

5388095860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56801 (or 56792 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The square root of 5388095860 is about 73403.6501817178. The cubic root of 5388095860 is about 1753.1205123513.

The spelling of 5388095860 in words is "five billion, three hundred eighty-eight million, ninety-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 679 970 980 1358 1940 2716 3395 4753 6790 9506 13580 19012 23765 47530 56681 95060 113362 226724 283405 396767 566810 793534 1133620 1587068 1983835 2777369 3967670 5498057 5554738 7935340 10996114 11109476 13886845 21992228 27490285 27773690 38486399 54980570 55547380 76972798 109961140 153945596 192431995 269404793 384863990 538809586 769727980 1077619172 1347023965 2694047930 5388095860