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5871680 = 26559311
BaseRepresentation
bin10110011001100001000000
3102001022102122
4112121201000
53000343210
6325503412
7100623413
oct26314100
912038378
105871680
113350531
121b71b68
1312a7789
14acbb7a
157aeb55
hex599840

5871680 has 56 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 2301440.

The previous prime is 5871673. The next prime is 5871707. The reversal of 5871680 is 861785.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5871680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18725 + ... + 19035.

Almost surely, 25871680 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 5871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

5871680 is an abundant number, since it is smaller than the sum of its proper divisors (8392960).

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

5871680 is a wasteful number, since it uses less digits than its factorization.

5871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 5871680 is about 2423.1549682181. The cubic root of 5871680 is about 180.4073080915.

The spelling of 5871680 in words is "five million, eight hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 311 320 472 590 622 944 1180 1244 1555 1888 2360 2488 3110 3776 4720 4976 6220 9440 9952 12440 18349 18880 19904 24880 36698 49760 73396 91745 99520 146792 183490 293584 366980 587168 733960 1174336 1467920 2935840 5871680