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7120 = 24589
BaseRepresentation
bin1101111010000
3100202201
41233100
5211440
652544
726521
oct15720
910681
107120
115393
124154
133319
142848
15219a
hex1bd0

7120 has 20 divisors (see below), whose sum is σ = 16740. Its totient is φ = 2816.

The previous prime is 7109. The next prime is 7121. The reversal of 7120 is 217.

Adding to 7120 its reverse (217), we get a palindrome (7337).

Subtracting from 7120 its reverse (217), we obtain a triangular number (6903 = T117).

It can be divided in two parts, 71 and 20, that added together give a triangular number (91 = T13).

7120 = T5 + T6 + ... + T34.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 5184 = 44^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 7097 and 7106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36 + ... + 124.

It is an arithmetic number, because the mean of its divisors is an integer number (837).

27120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370).

7120 is an abundant number, since it is smaller than the sum of its proper divisors (9620).

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

7120 is a wasteful number, since it uses less digits than its factorization.

7120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 7120 is about 84.3800924389. The cubic root of 7120 is about 19.2380034322.

The spelling of 7120 in words is "seven thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120