Search a number
-
+
5187397200 = 2435210939659
BaseRepresentation
bin1001101010011000…
…10110011001010000
3111101112000002012020
410311030112121100
541110433202300
62214423531440
7242356101666
oct46514263120
914345002166
105187397200
112222172327
1210092b9b80
136489226cb
14372d22c36
152056218a0
hex135316650

5187397200 has 120 divisors (see below), whose sum is σ = 16769834400. Its totient is φ = 1370580480.

The previous prime is 5187397199. The next prime is 5187397211. The reversal of 5187397200 is 27937815.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 110971 + ... + 150629.

It is an arithmetic number, because the mean of its divisors is an integer number (139748620).

Almost surely, 25187397200 is an apocalyptic number.

5187397200 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 5187397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384917200).

5187397200 is an abundant number, since it is smaller than the sum of its proper divisors (11582437200).

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

5187397200 is a wasteful number, since it uses less digits than its factorization.

5187397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39789 (or 39778 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5187397200 is about 72023.5878028858. The cubic root of 5187397200 is about 1731.0774581615.

The spelling of 5187397200 in words is "five billion, one hundred eighty-seven million, three hundred ninety-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 109 120 150 200 218 240 300 327 400 436 545 600 654 872 1090 1200 1308 1635 1744 2180 2616 2725 3270 4360 5232 5450 6540 8175 8720 10900 13080 16350 21800 26160 32700 39659 43600 65400 79318 118977 130800 158636 198295 237954 317272 396590 475908 594885 634544 793180 951816 991475 1189770 1586360 1903632 1982950 2379540 2974425 3172720 3965900 4322831 4759080 5948850 7931800 8645662 9518160 11897700 12968493 15863600 17291324 21614155 23795400 25936986 34582648 43228310 47590800 51873972 64842465 69165296 86456620 103747944 108070775 129684930 172913240 207495888 216141550 259369860 324212325 345826480 432283100 518739720 648424650 864566200 1037479440 1296849300 1729132400 2593698600 5187397200