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10413424 = 247109853
BaseRepresentation
bin100111101110…
…010101110000
3201121001112101
4213232111300
510131212144
61011110144
7154340560
oct47562560
921531471
1010413424
11597283a
1235a2354
132207ab8
141550da0
15daa6d4
hex9ee570

10413424 has 40 divisors (see below), whose sum is σ = 23297120. Its totient is φ = 4416768.

The previous prime is 10413421. The next prime is 10413433. The reversal of 10413424 is 42431401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413421) 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 7 ways as a sum of consecutive naturals, for example, 11782 + ... + 12634.

It is an arithmetic number, because the mean of its divisors is an integer number (582428).

Almost surely, 210413424 is an apocalyptic number.

10413424 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 10413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648560).

10413424 is an abundant number, since it is smaller than the sum of its proper divisors (12883696).

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

10413424 is a wasteful number, since it uses less digits than its factorization.

10413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10413424 is about 3226.9837309785. The cubic root of 10413424 is about 218.3724519901.

Adding to 10413424 its reverse (42431401), we get a palindrome (52844825).

It can be divided in two parts, 1041 and 3424, that added together give a triangular number (4465 = T94).

The spelling of 10413424 in words is "ten million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 853 872 1526 1706 1744 3052 3412 5971 6104 6824 11942 12208 13648 23884 47768 92977 95536 185954 371908 650839 743816 1301678 1487632 2603356 5206712 10413424