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103040 = 275723
BaseRepresentation
bin11001001010000000
312020100022
4121022000
511244130
62113012
7606260
oct311200
9166308
10103040
1170463
124b768
1337b92
14297a0
15207e5
hex19280

103040 has 64 divisors (see below), whose sum is σ = 293760. Its totient is φ = 33792.

The previous prime is 103007. The next prime is 103043. The reversal of 103040 is 40301.

Adding to 103040 its reverse (40301), we get a palindrome (143341).

It is a Cunningham number, because it is equal to 3212-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103043) by changing a digit.

103040 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4469 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2103040 is an apocalyptic number.

103040 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 103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

103040 is an abundant number, since it is smaller than the sum of its proper divisors (190720).

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

103040 is an equidigital number, since it uses as much as digits as its factorization.

103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103040 is about 320.9984423638. The cubic root of 103040 is about 46.8815487147.

The spelling of 103040 in words is "one hundred three thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1472 1610 1840 2240 2576 2944 3220 3680 4480 5152 6440 7360 10304 12880 14720 20608 25760 51520 103040