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10424414 = 27111341127
BaseRepresentation
bin100111110001…
…000001011110
3201121121121102
4213301001132
510132040124
61011233102
7154414610
oct47610136
921547542
1010424414
115980020
1235a8792
13220cac0
141554db0
15dadaae
hex9f105e

10424414 has 64 divisors (see below), whose sum is σ = 21676032. Its totient is φ = 3628800.

The previous prime is 10424413. The next prime is 10424429. The reversal of 10424414 is 41442401.

It is a happy number.

10424414 is nontrivially palindromic in base 3.

10424414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82019 + ... + 82145.

It is an arithmetic number, because the mean of its divisors is an integer number (338688).

Almost surely, 210424414 is an apocalyptic number.

10424414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10424414 is an abundant number, since it is smaller than the sum of its proper divisors (11251618).

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

10424414 is a wasteful number, since it uses less digits than its factorization.

10424414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

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

The square root of 10424414 is about 3228.6861104790. The cubic root of 10424414 is about 218.4492461191.

Adding to 10424414 its reverse (41442401), we get a palindrome (51866815).

It can be divided in two parts, 1042441 and 4, that multiplied together give a square (4169764 = 20422).

The spelling of 10424414 in words is "ten million, four hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 127 143 154 182 254 286 287 451 533 574 889 902 1001 1066 1397 1651 1778 2002 2794 3157 3302 3731 5207 5863 6314 7462 9779 10414 11557 11726 18161 19558 23114 36322 36449 41041 57277 67691 72898 82082 114554 127127 135382 254254 400939 473837 744601 801878 947674 1489202 5212207 10424414