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103103260 = 225132571543
BaseRepresentation
bin1100010010100…
…11101100011100
321012000012002021
412021103230130
5202343301020
614121505524
72361235411
oct611235434
9235005067
10103103260
1153221007
122a6422a4
131848c160
14d99c108
1590b91aa
hex6253b1c

103103260 has 48 divisors (see below), whose sum is σ = 234230976. Its totient is φ = 37896192.

The previous prime is 103103219. The next prime is 103103261. The reversal of 103103260 is 62301301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103103261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66049 + ... + 67591.

It is an arithmetic number, because the mean of its divisors is an integer number (4879812).

Almost surely, 2103103260 is an apocalyptic number.

103103260 is a gapful number since it is divisible by the number (10) 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 103103260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117115488).

103103260 is an abundant number, since it is smaller than the sum of its proper divisors (131127716).

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

103103260 is a wasteful number, since it uses less digits than its factorization.

103103260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 103103260 is about 10153.9775457699. The cubic root of 103103260 is about 468.9114084738.

Adding to 103103260 its reverse (62301301), we get a palindrome (165404561).

The spelling of 103103260 in words is "one hundred three million, one hundred three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 514 1028 1285 1543 2570 3086 3341 5140 6172 6682 7715 13364 15430 16705 20059 30860 33410 40118 66820 80236 100295 200590 396551 401180 793102 1586204 1982755 3965510 5155163 7931020 10310326 20620652 25775815 51551630 103103260