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5831680 = 21051767
BaseRepresentation
bin10110001111110000000000
3101222021120011
4112033300000
52443103210
6324554304
7100365661
oct26176000
911867504
105831680
113323478
121b52994
1312924ca
14abb368
157a2d8a
hex58fc00

5831680 has 88 divisors (see below), whose sum is σ = 15033168. Its totient is φ = 2162688.

The previous prime is 5831677. The next prime is 5831687. The reversal of 5831680 is 861385.

5831680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5831687) 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, 87007 + ... + 87073.

Almost surely, 25831680 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 5831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516584).

5831680 is an abundant number, since it is smaller than the sum of its proper divisors (9201488).

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

5831680 is a wasteful number, since it uses less digits than its factorization.

5831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 5831680 is about 2414.8871609249. The cubic root of 5831680 is about 179.9967077587.

The spelling of 5831680 in words is "five million, eight hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 67 68 80 85 128 134 136 160 170 256 268 272 320 335 340 512 536 544 640 670 680 1024 1072 1088 1139 1280 1340 1360 2144 2176 2278 2560 2680 2720 4288 4352 4556 5120 5360 5440 5695 8576 8704 9112 10720 10880 11390 17152 17408 18224 21440 21760 22780 34304 36448 42880 43520 45560 68608 72896 85760 87040 91120 145792 171520 182240 291584 343040 364480 583168 728960 1166336 1457920 2915840 5831680