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2116080 = 243252939
BaseRepresentation
bin1000000100100111110000
310222111201100
420010213300
51020203310
6113204400
723662221
oct10044760
93874640
102116080
11121592a
12860700
13591225
143d1248
152bbec0
hex2049f0

2116080 has 60 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 564096.

The previous prime is 2116063. The next prime is 2116097. The reversal of 2116080 is 806112.

It is an interprime number because it is at equal distance from previous prime (2116063) and next prime (2116097).

It is a tau number, because it is divible by the number of its divisors (60).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750 + ... + 2189.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

22116080 is an apocalyptic number.

2116080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116080 is an abundant number, since it is smaller than the sum of its proper divisors (4992840).

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

2116080 is a wasteful number, since it uses less digits than its factorization.

2116080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2949 counting only the distinct ones).

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

The square root of 2116080 is about 1454.6752214842. The cubic root of 2116080 is about 128.3839383642.

The spelling of 2116080 in words is "two million, one hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2939 5878 8817 11756 14695 17634 23512 26451 29390 35268 44085 47024 52902 58780 70536 88170 105804 117560 132255 141072 176340 211608 235120 264510 352680 423216 529020 705360 1058040 2116080