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5250960 = 24335111317
BaseRepresentation
bin10100000001111110010000
3100212202222000
4110001332100
52321012320
6304314000
762426631
oct24017620
910782860
105250960
112a67140
121912900
13111b0a0
149a9888
156dac90
hex501f90

5250960 has 320 divisors, whose sum is σ = 22498560. Its totient is φ = 1105920.

The previous prime is 5250953. The next prime is 5250961. The reversal of 5250960 is 690525.

5250960 = T172 + T173 + ... + T331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5250961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308872 + ... + 308888.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

Almost surely, 25250960 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 5250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

5250960 is an abundant number, since it is smaller than the sum of its proper divisors (17247600).

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

5250960 is a wasteful number, since it uses less digits than its factorization.

5250960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5250960 is about 2291.4973270768. The cubic root of 5250960 is about 173.8119252037.

The spelling of 5250960 in words is "five million, two hundred fifty thousand, nine hundred sixty".