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4103040 = 27352137
BaseRepresentation
bin1111101001101110000000
321201110022110
433221232000
52022244130
6223535320
746606134
oct17515600
97643273
104103040
112352747
12145a540
13b08746
1478b3c4
15560ab0
hex3e9b80

4103040 has 64 divisors (see below), whose sum is σ = 13084560. Its totient is φ = 1093632.

The previous prime is 4103009. The next prime is 4103083. The reversal of 4103040 is 403014.

4103040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852 + ... + 2988.

Almost surely, 24103040 is an apocalyptic number.

4103040 is a gapful number since it is divisible by the number (40) 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 4103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542280).

4103040 is an abundant number, since it is smaller than the sum of its proper divisors (8981520).

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

4103040 is a wasteful number, since it uses less digits than its factorization.

4103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4103040 is about 2025.5962085273. The cubic root of 4103040 is about 160.0916141994.

Adding to 4103040 its reverse (403014), we get a palindrome (4506054).

The spelling of 4103040 in words is "four million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2137 4274 6411 8548 10685 12822 17096 21370 25644 32055 34192 42740 51288 64110 68384 85480 102576 128220 136768 170960 205152 256440 273536 341920 410304 512880 683840 820608 1025760 1367680 2051520 4103040