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10405430 = 257232281
BaseRepresentation
bin100111101100…
…011000110110
3201120122120022
4213230120312
510130433210
61011005142
7154305350
oct47543066
921518508
1010405430
115967832
1235997b2
132204279
14154c0d0
15da8155
hex9ec636

10405430 has 48 divisors (see below), whose sum is σ = 22456224. Its totient is φ = 3400320.

The previous prime is 10405427. The next prime is 10405459. The reversal of 10405430 is 3450401.

It is a junction number, because it is equal to n+sod(n) for n = 10405399 and 10405408.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36890 + ... + 37170.

It is an arithmetic number, because the mean of its divisors is an integer number (467838).

Almost surely, 210405430 is an apocalyptic number.

10405430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10405430 is an abundant number, since it is smaller than the sum of its proper divisors (12050794).

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

10405430 is a wasteful number, since it uses less digits than its factorization.

10405430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10405430 is about 3225.7448752187. The cubic root of 10405430 is about 218.3165588703.

Adding to 10405430 its reverse (3450401), we get a palindrome (13855831).

The spelling of 10405430 in words is "ten million, four hundred five thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 281 322 529 562 805 1058 1405 1610 1967 2645 2810 3703 3934 5290 6463 7406 9835 12926 18515 19670 32315 37030 45241 64630 90482 148649 226205 297298 452410 743245 1040543 1486490 2081086 5202715 10405430