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5240760 = 2335717367
BaseRepresentation
bin10011111111011110111000
3100212020222020
4103333132320
52320201020
6304154440
762355120
oct23773670
910766866
105240760
112a5a508
121908a20
131116555
149a5c80
156d7c40
hex4ff7b8

5240760 has 128 divisors (see below), whose sum is σ = 19077120. Its totient is φ = 1124352.

The previous prime is 5240747. The next prime is 5240761. The reversal of 5240760 is 670425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5240760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5240761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14097 + ... + 14463.

It is an arithmetic number, because the mean of its divisors is an integer number (149040).

Almost surely, 25240760 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 5240760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538560).

5240760 is an abundant number, since it is smaller than the sum of its proper divisors (13836360).

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

5240760 is a wasteful number, since it uses less digits than its factorization.

5240760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5240760 is about 2289.2706262039. The cubic root of 5240760 is about 173.6993089190.

The spelling of 5240760 in words is "five million, two hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 367 408 420 476 510 595 680 714 734 840 952 1020 1101 1190 1428 1468 1785 1835 2040 2202 2380 2569 2856 2936 3570 3670 4404 4760 5138 5505 6239 7140 7340 7707 8808 10276 11010 12478 12845 14280 14680 15414 18717 20552 22020 24956 25690 30828 31195 37434 38535 43673 44040 49912 51380 61656 62390 74868 77070 87346 93585 102760 124780 131019 149736 154140 174692 187170 218365 249560 262038 308280 349384 374340 436730 524076 655095 748680 873460 1048152 1310190 1746920 2620380 5240760