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5129360 = 24597661
BaseRepresentation
bin10011100100010010010000
3100122121011022
4103210102100
52303114420
6301535012
761412255
oct23442220
910577138
105129360
112993845
121874468
1310a7932
1497742c
156b4c25
hex4e4490

5129360 has 40 divisors (see below), whose sum is σ = 12066936. Its totient is φ = 2027520.

The previous prime is 5129357. The next prime is 5129363. The reversal of 5129360 is 639215.

5129360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5129357) and next prime (5129363).

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 4145296 = 992^2 + 2036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5129363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7430 + ... + 8090.

Almost surely, 25129360 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 5129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033468).

5129360 is an abundant number, since it is smaller than the sum of its proper divisors (6937576).

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

5129360 is a wasteful number, since it uses less digits than its factorization.

5129360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 5129360 is about 2264.8090427230. The cubic root of 5129360 is about 172.4597399568.

The spelling of 5129360 in words is "five million, one hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 661 776 970 1322 1552 1940 2644 3305 3880 5288 6610 7760 10576 13220 26440 52880 64117 128234 256468 320585 512936 641170 1025872 1282340 2564680 5129360