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10441424 = 247531759
BaseRepresentation
bin100111110101…
…001011010000
3201122110221102
4213311023100
510133111144
61011443532
7154515320
oct47651320
921573842
1010441424
115991884
1235b65a8
132217776
14155b280
15db3b4e
hex9f52d0

10441424 has 40 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 4387968.

The previous prime is 10441423. The next prime is 10441427. The reversal of 10441424 is 42414401.

It is a happy number.

10441424 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10441424 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 10441396 and 10441405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441423) 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, 5057 + ... + 6815.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 210441424 is an apocalyptic number.

10441424 is a gapful number since it is divisible by the number (14) 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 10441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

10441424 is an abundant number, since it is smaller than the sum of its proper divisors (13128496).

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

10441424 is a wasteful number, since it uses less digits than its factorization.

10441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 10441424 is about 3231.3192352350. The cubic root of 10441424 is about 218.5679994743.

Adding to 10441424 its reverse (42414401), we get a palindrome (52855825).

The spelling of 10441424 in words is "ten million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 1759 2968 3518 5936 7036 12313 14072 24626 28144 49252 93227 98504 186454 197008 372908 652589 745816 1305178 1491632 2610356 5220712 10441424