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2112240 = 243513677
BaseRepresentation
bin1000000011101011110000
310222022110010
420003223300
51020042430
6113134520
723645064
oct10035360
93868403
102112240
111212a59
1285a440
1358c560
143cdaa4
152bacb0
hex203af0

2112240 has 80 divisors (see below), whose sum is σ = 7062048. Its totient is φ = 519168.

The previous prime is 2112239. The next prime is 2112263. The reversal of 2112240 is 422112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2782 + ... + 3458.

22112240 is an apocalyptic number.

2112240 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 2112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531024).

2112240 is an abundant number, since it is smaller than the sum of its proper divisors (4949808).

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

2112240 is a wasteful number, since it uses less digits than its factorization.

2112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2112240 is about 1453.3547399035. The cubic root of 2112240 is about 128.3062329163.

Adding to 2112240 its reverse (422112), we get a palindrome (2534352).

The spelling of 2112240 in words is "two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 677 780 1040 1354 1560 2031 2708 3120 3385 4062 5416 6770 8124 8801 10155 10832 13540 16248 17602 20310 26403 27080 32496 35204 40620 44005 52806 54160 70408 81240 88010 105612 132015 140816 162480 176020 211224 264030 352040 422448 528060 704080 1056120 2112240