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5996160 = 27335347
BaseRepresentation
bin10110110111111010000000
3102021122012000
4112313322000
53013334120
6332304000
7101652342
oct26677200
912248160
105996160
113426005
122012000
13131c331
14b21292
157d6990
hex5b7e80

5996160 has 128 divisors (see below), whose sum is σ = 21297600. Its totient is φ = 1594368.

The previous prime is 5996149. The next prime is 5996167. The reversal of 5996160 is 616995.

5996160 is a `hidden beast` number, since 599 + 6 + 1 + 60 = 666.

5996160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5996167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17107 + ... + 17453.

Almost surely, 25996160 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 5996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648800).

5996160 is an abundant number, since it is smaller than the sum of its proper divisors (15301440).

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

5996160 is a wasteful number, since it uses less digits than its factorization.

5996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5996160 is about 2448.7057806115. The cubic root of 5996160 is about 181.6732857710.

The spelling of 5996160 in words is "five million, nine hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 347 360 384 432 480 540 576 640 694 720 864 960 1041 1080 1152 1388 1440 1728 1735 1920 2082 2160 2776 2880 3123 3456 3470 4164 4320 5205 5552 5760 6246 6940 8328 8640 9369 10410 11104 12492 13880 15615 16656 17280 18738 20820 22208 24984 27760 31230 33312 37476 41640 44416 46845 49968 55520 62460 66624 74952 83280 93690 99936 111040 124920 133248 149904 166560 187380 199872 222080 249840 299808 333120 374760 399744 499680 599616 666240 749520 999360 1199232 1499040 1998720 2998080 5996160