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12704432 = 2413103593
BaseRepresentation
bin110000011101…
…101010110000
3212220110012112
4300131222300
511223020212
61132144452
7212662106
oct60355260
925813175
1012704432
117198034
124308128
13282a820
141989c76
1511ae422
hexc1dab0

12704432 has 40 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 5796864.

The previous prime is 12704413. The next prime is 12704453. The reversal of 12704432 is 23440721.

It is a super-2 number, since 2×127044322 = 322805184885248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12704398 and 12704407.

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 7 ways as a sum of consecutive naturals, for example, 21128 + ... + 21720.

Almost surely, 212704432 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 12704432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

12704432 is an abundant number, since it is smaller than the sum of its proper divisors (14106352).

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

12704432 is a wasteful number, since it uses less digits than its factorization.

12704432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 12704432 is about 3564.3277065949. The cubic root of 12704432 is about 233.3377922050.

The spelling of 12704432 in words is "twelve million, seven hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 593 824 1186 1339 1648 2372 2678 4744 5356 7709 9488 10712 15418 21424 30836 61079 61672 122158 123344 244316 488632 794027 977264 1588054 3176108 6352216 12704432