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103120 = 2451289
BaseRepresentation
bin11001001011010000
312020110021
4121023100
511244440
62113224
7606433
oct311320
9166407
10103120
1170526
124b814
1337c24
142981a
152084a
hex192d0

103120 has 20 divisors (see below), whose sum is σ = 239940. Its totient is φ = 41216.

The previous prime is 103099. The next prime is 103123. The reversal of 103120 is 21301.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 41616 = 248^2 + 204^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123) by changing a digit.

103120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 565 + ... + 724.

It is an arithmetic number, because the mean of its divisors is an integer number (11997).

2103120 is an apocalyptic number.

103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103120 is an abundant number, since it is smaller than the sum of its proper divisors (136820).

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

103120 is a wasteful number, since it uses less digits than its factorization.

103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 103120 is about 321.1230293828. The cubic root of 103120 is about 46.8936784820.

Adding to 103120 its reverse (21301), we get a palindrome (124421).

The spelling of 103120 in words is "one hundred three thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 1289 2578 5156 6445 10312 12890 20624 25780 51560 103120