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2108160 = 2833561
BaseRepresentation
bin1000000010101100000000
310222002212000
420002230000
51014430120
6113104000
723630145
oct10025400
93862760
102108160
11120a98a
12858000
1358a742
143cc3cc
152b9990
hex202b00

2108160 has 144 divisors (see below), whose sum is σ = 7603680. Its totient is φ = 552960.

The previous prime is 2108159. The next prime is 2108177. The reversal of 2108160 is 618012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34530 + ... + 34590.

22108160 is an apocalyptic number.

2108160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801840).

2108160 is an abundant number, since it is smaller than the sum of its proper divisors (5495520).

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

2108160 is an equidigital number, since it uses as much as digits as its factorization.

2108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2108160 is about 1451.9504123764. The cubic root of 2108160 is about 128.2235676179.

The spelling of 2108160 in words is "two million, one hundred eight 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 61 64 72 80 90 96 108 120 122 128 135 144 160 180 183 192 216 240 244 256 270 288 305 320 360 366 384 432 480 488 540 549 576 610 640 720 732 768 864 915 960 976 1080 1098 1152 1220 1280 1440 1464 1647 1728 1830 1920 1952 2160 2196 2304 2440 2745 2880 2928 3294 3456 3660 3840 3904 4320 4392 4880 5490 5760 5856 6588 6912 7320 7808 8235 8640 8784 9760 10980 11520 11712 13176 14640 15616 16470 17280 17568 19520 21960 23424 26352 29280 32940 34560 35136 39040 43920 46848 52704 58560 65880 70272 78080 87840 105408 117120 131760 140544 175680 210816 234240 263520 351360 421632 527040 702720 1054080 2108160