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5008720 = 245137457
BaseRepresentation
bin10011000110110101010000
3100102110200011
4103012311100
52240234340
6255204304
760400453
oct23066520
910373604
105008720
112911142
121816694
131064a52
1494549a
1568e0ea
hex4c6d50

5008720 has 40 divisors (see below), whose sum is σ = 11755944. Its totient is φ = 1984512.

The previous prime is 5008711. The next prime is 5008721. The reversal of 5008720 is 278005.

5008720 = T199 + T200 + ... + T335.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 3549456 = 1208^2 + 1884^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5008691 and 5008700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008721) 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, 10732 + ... + 11188.

Almost surely, 25008720 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 5008720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877972).

5008720 is an abundant number, since it is smaller than the sum of its proper divisors (6747224).

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

5008720 is a wasteful number, since it uses less digits than its factorization.

5008720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 5008720 is about 2238.0169793815. The cubic root of 5008720 is about 171.0969435369.

The spelling of 5008720 in words is "five million, eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 457 548 685 914 1096 1370 1828 2192 2285 2740 3656 4570 5480 7312 9140 10960 18280 36560 62609 125218 250436 313045 500872 626090 1001744 1252180 2504360 5008720