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12441040 = 245413793
BaseRepresentation
bin101111011101…
…010111010000
3212102001220021
4233131113100
511141103130
61122353224
7210514153
oct57352720
925361807
1012441040
117028157
1241bb814
132767981
14191bc9a
15115b37a
hexbdd5d0

12441040 has 40 divisors (see below), whose sum is σ = 29638728. Its totient is φ = 4853760.

The previous prime is 12441031. The next prime is 12441049. The reversal of 12441040 is 4014421.

It is an interprime number because it is at equal distance from previous prime (12441031) and next prime (12441049).

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 12222016 = 468^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1384 + ... + 5176.

Almost surely, 212441040 is an apocalyptic number.

12441040 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 12441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819364).

12441040 is an abundant number, since it is smaller than the sum of its proper divisors (17197688).

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

12441040 is a wasteful number, since it uses less digits than its factorization.

12441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12441040 is about 3527.1858471025. The cubic root of 12441040 is about 231.7139756968.

Adding to 12441040 its reverse (4014421), we get a palindrome (16455461).

The spelling of 12441040 in words is "twelve million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3793 7586 15172 18965 30344 37930 60688 75860 151720 155513 303440 311026 622052 777565 1244104 1555130 2488208 3110260 6220520 12441040