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103290 = 23511313
BaseRepresentation
bin11001001101111010
312020200120
4121031322
511301130
62114110
7610065
oct311572
9166616
10103290
1170670
124b936
1338025
14298dc
1520910
hex1937a

103290 has 32 divisors (see below), whose sum is σ = 271296. Its totient is φ = 24960.

The previous prime is 103289. The next prime is 103291. The reversal of 103290 is 92301.

103290 = T44 + T45 + ... + T88.

It is an interprime number because it is at equal distance from previous prime (103289) and next prime (103291).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103290.

It is not an unprimeable number, because it can be changed into a prime (103291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (8478).

2103290 is an apocalyptic number.

103290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135648).

103290 is an abundant number, since it is smaller than the sum of its proper divisors (168006).

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

103290 is a wasteful number, since it uses less digits than its factorization.

103290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103290 is about 321.3876164385. The cubic root of 103290 is about 46.9194334232.

103290 divided by its sum of digits (15) gives a palindrome (6886).

Adding to 103290 its reverse (92301), we get a palindrome (195591).

It can be divided in two parts, 103 and 290, that added together give a palindrome (393).

The spelling of 103290 in words is "one hundred three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 313 330 626 939 1565 1878 3130 3443 4695 6886 9390 10329 17215 20658 34430 51645 103290