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537680 = 245111347
BaseRepresentation
bin10000011010001010000
31000022120002
42003101100
5114201210
615305132
74366403
oct2032120
91008502
10537680
11337a70
1221b1a8
1315a970
14ddd3a
15a94a5
hex83450

537680 has 80 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 176640.

The previous prime is 537679. The next prime is 537703. The reversal of 537680 is 86735.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11417 + ... + 11463.

2537680 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 537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

537680 is an abundant number, since it is smaller than the sum of its proper divisors (962224).

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

537680 is a wasteful number, since it uses less digits than its factorization.

537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 537680 is about 733.2666636361. The cubic root of 537680 is about 81.3157416640.

The spelling of 537680 in words is "five hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 47 52 55 65 80 88 94 104 110 130 143 176 188 208 220 235 260 286 376 440 470 517 520 572 611 715 752 880 940 1034 1040 1144 1222 1430 1880 2068 2288 2444 2585 2860 3055 3760 4136 4888 5170 5720 6110 6721 8272 9776 10340 11440 12220 13442 20680 24440 26884 33605 41360 48880 53768 67210 107536 134420 268840 537680