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10430424 = 2333431123
BaseRepresentation
bin100111110010…
…011111011000
3201121220212000
4213302133120
510132233144
61011321000
7154441254
oct47623730
921556760
1010430424
115984594
1235b0160
132212764
141557264
15db0769
hex9f27d8

10430424 has 64 divisors (see below), whose sum is σ = 29673600. Its totient is φ = 3392928.

The previous prime is 10430417. The next prime is 10430443. The reversal of 10430424 is 42403401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10430397 and 10430406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8727 + ... + 9849.

It is an arithmetic number, because the mean of its divisors is an integer number (463650).

Almost surely, 210430424 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 10430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836800).

10430424 is an abundant number, since it is smaller than the sum of its proper divisors (19243176).

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

10430424 is a wasteful number, since it uses less digits than its factorization.

10430424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10430424 is about 3229.6166955229. The cubic root of 10430424 is about 218.4912189899.

Adding to 10430424 its reverse (42403401), we get a palindrome (52833825).

The spelling of 10430424 in words is "ten million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1123 1161 1548 2246 2322 3096 3369 4492 4644 6738 8984 9288 10107 13476 20214 26952 30321 40428 48289 60642 80856 96578 121284 144867 193156 242568 289734 386312 434601 579468 869202 1158936 1303803 1738404 2607606 3476808 5215212 10430424