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10404430420 = 22523472691789
BaseRepresentation
bin10011011000010011…
…10000001001010100
3222212002202211100211
421230021300021110
5132302013233140
64440231015204
7515555125246
oct115411601124
928762684324
1010404430420
11445a03662a
12202450a504
13c9a720507
14709b5c096
1540d6492ea
hex26c270254

10404430420 has 96 divisors (see below), whose sum is σ = 23383987200. Its totient is φ = 3879473664.

The previous prime is 10404430409. The next prime is 10404430441. The reversal of 10404430420 is 2403440401.

It is a junction number, because it is equal to n+sod(n) for n = 10404430391 and 10404430400.

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 31 ways as a sum of consecutive naturals, for example, 5814886 + ... + 5816674.

It is an arithmetic number, because the mean of its divisors is an integer number (243583200).

Almost surely, 210404430420 is an apocalyptic number.

10404430420 is a gapful number since it is divisible by the number (10) 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 10404430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11691993600).

10404430420 is an abundant number, since it is smaller than the sum of its proper divisors (12979556780).

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

10404430420 is a wasteful number, since it uses less digits than its factorization.

10404430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10404430420 its reverse (2403440401), we get a palindrome (12807870821).

The spelling of 10404430420 in words is "ten billion, four hundred four million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 269 460 470 538 940 1076 1081 1345 1789 2162 2690 3578 4324 5380 5405 6187 7156 8945 10810 12374 12643 17890 21620 24748 25286 30935 35780 41147 50572 61870 63215 82294 84083 123740 126430 164588 168166 205735 252860 290789 336332 411470 420415 481241 581578 822940 840830 962482 1163156 1453945 1681660 1924964 1933909 2406205 2907890 3867818 4812410 5815780 7735636 9624820 9669545 11068543 19339090 22137086 22618327 38678180 44274172 45236654 55342715 90473308 110685430 113091635 221370860 226183270 452366540 520221521 1040443042 2080886084 2601107605 5202215210 10404430420