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2187108 = 2233711263
BaseRepresentation
bin1000010101111101100100
311010010011000
420111331210
51024441413
6114513300
724406260
oct10257544
94103130
102187108
111264230
12895830
135b7661
1440d0a0
152d3073
hex215f64

2187108 has 96 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 565920.

The previous prime is 2187103. The next prime is 2187113. The reversal of 2187108 is 8017812.

2187108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2187103) and next prime (2187113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2187103) 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 31 ways as a sum of consecutive naturals, for example, 8185 + ... + 8447.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

22187108 is an apocalyptic number.

2187108 is a gapful number since it is divisible by the number (28) 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 2187108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2187108 is an abundant number, since it is smaller than the sum of its proper divisors (4909212).

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

2187108 is a wasteful number, since it uses less digits than its factorization.

2187108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 2187108 is about 1478.8874196503. The cubic root of 2187108 is about 129.8045979585.

It can be divided in two parts, 2187 and 108, that multiplied together give a square (236196 = 4862).

The spelling of 2187108 in words is "two million, one hundred eighty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 263 297 308 378 396 462 526 594 693 756 789 924 1052 1188 1386 1578 1841 2079 2367 2772 2893 3156 3682 4158 4734 5523 5786 7101 7364 8316 8679 9468 11046 11572 14202 16569 17358 20251 22092 26037 28404 33138 34716 40502 49707 52074 60753 66276 78111 81004 99414 104148 121506 156222 182259 198828 243012 312444 364518 546777 729036 1093554 2187108