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2114560 = 2105759
BaseRepresentation
bin1000000100010000000000
310222102122001
420010100000
51020131220
6113153344
723654620
oct10042000
93872561
102114560
111214778
1285b854
13590626
143d0880
152bb80a
hex204400

2114560 has 88 divisors (see below), whose sum is σ = 5895360. Its totient is φ = 712704.

The previous prime is 2114549. The next prime is 2114621. The reversal of 2114560 is 654112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35811 + ... + 35869.

22114560 is an apocalyptic number.

2114560 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 2114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947680).

2114560 is an abundant number, since it is smaller than the sum of its proper divisors (3780800).

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

2114560 is an equidigital number, since it uses as much as digits as its factorization.

2114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2114560 is about 1454.1526742402. The cubic root of 2114560 is about 128.3531912076.

Adding to 2114560 its reverse (654112), we get a palindrome (2768672).

The spelling of 2114560 in words is "two million, one hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 128 140 160 224 236 256 280 295 320 413 448 472 512 560 590 640 826 896 944 1024 1120 1180 1280 1652 1792 1888 2065 2240 2360 2560 3304 3584 3776 4130 4480 4720 5120 6608 7168 7552 8260 8960 9440 13216 15104 16520 17920 18880 26432 30208 33040 35840 37760 52864 60416 66080 75520 105728 132160 151040 211456 264320 302080 422912 528640 1057280 2114560