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5008960 = 265111423
BaseRepresentation
bin10011000110111001000000
3100102111000001
4103012321000
52240241320
6255205344
760401245
oct23067100
910374001
105008960
112911340
121816854
131064ba8
149455cc
1568e20a
hex4c6e40

5008960 has 56 divisors (see below), whose sum is σ = 13021056. Its totient is φ = 1820160.

The previous prime is 5008919. The next prime is 5008973. The reversal of 5008960 is 698005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2809 + ... + 4231.

Almost surely, 25008960 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 5008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510528).

5008960 is an abundant number, since it is smaller than the sum of its proper divisors (8012096).

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

5008960 is a wasteful number, since it uses less digits than its factorization.

5008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 5008960 is about 2238.0705976354. The cubic root of 5008960 is about 171.0996762784.

The spelling of 5008960 in words is "five million, eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1423 1760 2846 3520 5692 7115 11384 14230 15653 22768 28460 31306 45536 56920 62612 78265 91072 113840 125224 156530 227680 250448 313060 455360 500896 626120 1001792 1252240 2504480 5008960