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2191080 = 233519312
BaseRepresentation
bin1000010110111011101000
311010022121010
420112323220
51030103310
6114543520
724423663
oct10267350
94108533
102191080
111267211
12897ba0
135b93c8
144106da
152d4320
hex216ee8

2191080 has 96 divisors (see below), whose sum is σ = 7149600. Its totient is φ = 535680.

The previous prime is 2191069. The next prime is 2191087. The reversal of 2191080 is 801912.

2191080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2191087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70665 + ... + 70695.

It is an arithmetic number, because the mean of its divisors is an integer number (74475).

22191080 is an apocalyptic number.

2191080 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 2191080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574800).

2191080 is an abundant number, since it is smaller than the sum of its proper divisors (4958520).

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

2191080 is a wasteful number, since it uses less digits than its factorization.

2191080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2191080 is about 1480.2297119029. The cubic root of 2191080 is about 129.8831296788.

Adding to 2191080 its reverse (801912), we get a palindrome (2992992).

The spelling of 2191080 in words is "two million, one hundred ninety-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 930 961 1140 1178 1240 1767 1860 1922 2280 2356 2883 2945 3534 3720 3844 4712 4805 5766 5890 7068 7688 8835 9610 11532 11780 14136 14415 17670 18259 19220 23064 23560 28830 35340 36518 38440 54777 57660 70680 73036 91295 109554 115320 146072 182590 219108 273885 365180 438216 547770 730360 1095540 2191080