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10430024 = 2311296167
BaseRepresentation
bin100111110010…
…011001001000
3201121220022012
4213302121020
510132230044
61011315052
7154440143
oct47623110
921556265
1010430024
115984260
1235aba88
132212517
14155705a
15db059e
hex9f2648

10430024 has 64 divisors (see below), whose sum is σ = 22766400. Its totient is φ = 4435200.

The previous prime is 10430011. The next prime is 10430047. The reversal of 10430024 is 42003401.

10430024 = T351 + T352 + ... + T472.

It is a junction number, because it is equal to n+sod(n) for n = 10429990 and 10430008.

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 15 ways as a sum of consecutive naturals, for example, 155639 + ... + 155705.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 210430024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200).

10430024 is an abundant number, since it is smaller than the sum of its proper divisors (12336376).

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

10430024 is a wasteful number, since it uses less digits than its factorization.

10430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10430024 is about 3229.5547680756. The cubic root of 10430024 is about 218.4884259553.

Adding to 10430024 its reverse (42003401), we get a palindrome (52433425).

It can be divided in two parts, 10 and 430024, that added together give a palindrome (430034).

The spelling of 10430024 in words is "ten million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 61 67 88 116 122 134 232 244 268 319 488 536 638 671 737 1276 1342 1474 1769 1943 2552 2684 2948 3538 3886 4087 5368 5896 7076 7772 8174 14152 15544 16348 19459 21373 32696 38918 42746 44957 77836 85492 89914 118523 155672 170984 179828 237046 359656 474092 948184 1303753 2607506 5215012 10430024