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5286680 = 235779239
BaseRepresentation
bin10100001010101100011000
3100221120221222
4110022230120
52323133210
6305151212
762636030
oct24125430
910846858
105286680
112a90a63
12192b508
131131419
149b88c0
156e6655
hex50ab18

5286680 has 64 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 1782144.

The previous prime is 5286653. The next prime is 5286683. The reversal of 5286680 is 866825.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5286680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286683) 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, 22001 + ... + 22239.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 25286680 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 5286680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

5286680 is an abundant number, since it is smaller than the sum of its proper divisors (8537320).

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

5286680 is a wasteful number, since it uses less digits than its factorization.

5286680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 5286680 is about 2299.2781475933. The cubic root of 5286680 is about 174.2051572274.

The spelling of 5286680 in words is "five million, two hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 239 280 316 395 478 553 632 790 956 1106 1195 1580 1673 1912 2212 2390 2765 3160 3346 4424 4780 5530 6692 8365 9560 11060 13384 16730 18881 22120 33460 37762 66920 75524 94405 132167 151048 188810 264334 377620 528668 660835 755240 1057336 1321670 2643340 5286680