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5259680 = 25571463
BaseRepresentation
bin10100000100000110100000
3100220012220222
4110010012200
52321302210
6304422212
762464226
oct24040640
910805828
105259680
112a72748
121917968
13112204a
149acb16
156dd655
hex5041a0

5259680 has 48 divisors (see below), whose sum is σ = 12628224. Its totient is φ = 2069760.

The previous prime is 5259671. The next prime is 5259689. The reversal of 5259680 is 869525.

It is an interprime number because it is at equal distance from previous prime (5259671) and next prime (5259689).

It is a self number, because there is not a number n which added to its sum of digits gives 5259680.

It is not an unprimeable number, because it can be changed into a prime (5259689) 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, 11129 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (263088).

Almost surely, 25259680 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 5259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314112).

5259680 is an abundant number, since it is smaller than the sum of its proper divisors (7368544).

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

5259680 is a wasteful number, since it uses less digits than its factorization.

5259680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 5259680 is about 2293.3992238596. The cubic root of 5259680 is about 173.9080855108.

The spelling of 5259680 in words is "five million, two hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 463 568 710 926 1136 1420 1852 2272 2315 2840 3704 4630 5680 7408 9260 11360 14816 18520 32873 37040 65746 74080 131492 164365 262984 328730 525968 657460 1051936 1314920 2629840 5259680