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2113760 = 255111201
BaseRepresentation
bin1000000100000011100000
310222101112102
420010003200
51020120020
6113145532
723652365
oct10040340
93871472
102113760
111214110
1285b2a8
1359015c
143d046c
152bb475
hex2040e0

2113760 has 48 divisors (see below), whose sum is σ = 5452272. Its totient is φ = 768000.

The previous prime is 2113759. The next prime is 2113789. The reversal of 2113760 is 673112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1160 + ... + 2360.

It is an arithmetic number, because the mean of its divisors is an integer number (113589).

22113760 is an apocalyptic number.

2113760 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 2113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726136).

2113760 is an abundant number, since it is smaller than the sum of its proper divisors (3338512).

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

2113760 is a wasteful number, since it uses less digits than its factorization.

2113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2113760 is about 1453.8775739381. The cubic root of 2113760 is about 128.3370025749.

Adding to 2113760 its reverse (673112), we get a palindrome (2786872).

The spelling of 2113760 in words is "two million, one hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1201 1760 2402 4804 6005 9608 12010 13211 19216 24020 26422 38432 48040 52844 66055 96080 105688 132110 192160 211376 264220 422752 528440 1056880 2113760