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5016960 = 273251367
BaseRepresentation
bin10011001000110110000000
3100102212222100
4103020312000
52241020320
6255310400
760433464
oct23106600
910385870
105016960
112917353
12181b400
131068720
149484a4
15691790
hex4c8d80

5016960 has 192 divisors, whose sum is σ = 18935280. Its totient is φ = 1216512.

The previous prime is 5016959. The next prime is 5016961. The reversal of 5016960 is 696105.

It is an interprime number because it is at equal distance from previous prime (5016959) and next prime (5016961).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016961) 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, 74847 + ... + 74913.

Almost surely, 25016960 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 5016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9467640).

5016960 is an abundant number, since it is smaller than the sum of its proper divisors (13918320).

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

5016960 is a wasteful number, since it uses less digits than its factorization.

5016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5016960 is about 2239.8571383015. The cubic root of 5016960 is about 171.1907177545.

The spelling of 5016960 in words is "five million, sixteen thousand, nine hundred sixty".