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5875680 = 253512241
BaseRepresentation
bin10110011010011111100000
3102001111220210
4112122133200
53001010210
6325534120
7100641156
oct26323740
912044823
105875680
113353538
121b74340
1312a9545
14acd3d6
157b0e20
hex59a7e0

5875680 has 48 divisors (see below), whose sum is σ = 18509904. Its totient is φ = 1566720.

The previous prime is 5875663. The next prime is 5875687. The reversal of 5875680 is 865785.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5875687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5641 + ... + 6600.

It is an arithmetic number, because the mean of its divisors is an integer number (385623).

Almost surely, 25875680 is an apocalyptic number.

It is an amenable number.

5875680 is an abundant number, since it is smaller than the sum of its proper divisors (12634224).

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

5875680 is a wasteful number, since it uses less digits than its factorization.

5875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12259 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5875680 is about 2423.9801979389. The cubic root of 5875680 is about 180.4482654454.

It can be divided in two parts, 5875 and 680, that added together give a triangular number (6555 = T114).

The spelling of 5875680 in words is "five million, eight hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 12241 24482 36723 48964 61205 73446 97928 122410 146892 183615 195856 244820 293784 367230 391712 489640 587568 734460 979280 1175136 1468920 1958560 2937840 5875680