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12585430 = 2511132677
BaseRepresentation
bin110000000000…
…100111010110
3212200101222001
4300000213112
511210213210
61125425514
7211655134
oct60004726
925611861
1012585430
117116690
12426b29a
1327b8600
141958754
15118903a
hexc009d6

12585430 has 48 divisors (see below), whose sum is σ = 26799984. Its totient is φ = 4218240.

The previous prime is 12585421. The next prime is 12585431. The reversal of 12585430 is 3458521.

It is a super-3 number, since 3×125854303 (a number of 22 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12585431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18252 + ... + 18928.

It is an arithmetic number, because the mean of its divisors is an integer number (558333).

Almost surely, 212585430 is an apocalyptic number.

12585430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12585430 is an abundant number, since it is smaller than the sum of its proper divisors (14214554).

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

12585430 is a wasteful number, since it uses less digits than its factorization.

12585430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 12585430 is about 3547.5949599694. The cubic root of 12585430 is about 232.6069496781.

The spelling of 12585430 in words is "twelve million, five hundred eighty-five thousand, four hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 169 286 338 677 715 845 1354 1430 1690 1859 3385 3718 6770 7447 8801 9295 14894 17602 18590 37235 44005 74470 88010 96811 114413 193622 228826 484055 572065 968110 1144130 1258543 2517086 6292715 12585430