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5258760 = 2335133371
BaseRepresentation
bin10100000011111000001000
3100220011122220
4110003320020
52321240020
6304414040
762461443
oct24037010
910804586
105258760
112a71a91
121917320
1311217c0
149ac65a
156dd240
hex503e08

5258760 has 64 divisors (see below), whose sum is σ = 16994880. Its totient is φ = 1294080.

The previous prime is 5258741. The next prime is 5258761. The reversal of 5258760 is 678525.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5258761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (265545).

Almost surely, 25258760 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 5258760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497440).

5258760 is an abundant number, since it is smaller than the sum of its proper divisors (11736120).

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

5258760 is a wasteful number, since it uses less digits than its factorization.

5258760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5258760 is about 2293.1986394554. The cubic root of 5258760 is about 173.8979451748.

The spelling of 5258760 in words is "five million, two hundred fifty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3371 6742 10113 13484 16855 20226 26968 33710 40452 43823 50565 67420 80904 87646 101130 131469 134840 175292 202260 219115 262938 350584 404520 438230 525876 657345 876460 1051752 1314690 1752920 2629380 5258760