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5325840 = 2432513569
BaseRepresentation
bin10100010100010000010000
3101000120200100
4110110100100
52330411330
6310052400
763161142
oct24242020
911016610
105325840
113008423
12194a100
1311461b0
149c8c92
15703060
hex514410

5325840 has 120 divisors (see below), whose sum is σ = 19295640. Its totient is φ = 1308672.

The previous prime is 5325839. The next prime is 5325841. The reversal of 5325840 is 485235.

It is an interprime number because it is at equal distance from previous prime (5325839) and next prime (5325841).

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 5308416 = 132^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5325841) 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, 9076 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (160797).

Almost surely, 25325840 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 5325840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820).

5325840 is an abundant number, since it is smaller than the sum of its proper divisors (13969800).

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

5325840 is a wasteful number, since it uses less digits than its factorization.

5325840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5325840 is about 2307.7781522495. The cubic root of 5325840 is about 174.6342292256.

The spelling of 5325840 in words is "five million, three hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 569 585 624 720 780 936 1040 1138 1170 1560 1707 1872 2276 2340 2845 3120 3414 4552 4680 5121 5690 6828 7397 8535 9104 9360 10242 11380 13656 14794 17070 20484 22191 22760 25605 27312 29588 34140 36985 40968 44382 45520 51210 59176 66573 68280 73970 81936 88764 102420 110955 118352 133146 136560 147940 177528 204840 221910 266292 295880 332865 355056 409680 443820 532584 591760 665730 887640 1065168 1331460 1775280 2662920 5325840