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5251680 = 253257521
BaseRepresentation
bin10100000010001001100000
3100212210221200
4110002021200
52321023210
6304321200
762432010
oct24021140
910783850
105251680
112a67735
121913200
13111b505
149a9c40
156db0c0
hex502260

5251680 has 144 divisors (see below), whose sum is σ = 20520864. Its totient is φ = 1198080.

The previous prime is 5251663. The next prime is 5251711. The reversal of 5251680 is 861525.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9820 + ... + 10340.

It is an arithmetic number, because the mean of its divisors is an integer number (142506).

Almost surely, 25251680 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 5251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260432).

5251680 is an abundant number, since it is smaller than the sum of its proper divisors (15269184).

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

5251680 is a wasteful number, since it uses less digits than its factorization.

5251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5251680 is about 2291.6544242097. The cubic root of 5251680 is about 173.8198690760.

The spelling of 5251680 in words is "five million, two hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 521 560 630 672 720 840 1008 1042 1120 1260 1440 1563 1680 2016 2084 2520 2605 3126 3360 3647 4168 4689 5040 5210 6252 7294 7815 8336 9378 10080 10420 10941 12504 14588 15630 16672 18235 18756 20840 21882 23445 25008 29176 31260 32823 36470 37512 41680 43764 46890 50016 54705 58352 62520 65646 72940 75024 83360 87528 93780 109410 116704 125040 131292 145880 150048 164115 175056 187560 218820 250080 262584 291760 328230 350112 375120 437640 525168 583520 656460 750240 875280 1050336 1312920 1750560 2625840 5251680