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12835984 = 247313697
BaseRepresentation
bin110000111101…
…110010010000
3220011010122211
4300331302100
511241222414
61135041504
7214050460
oct60756220
926133584
1012835984
117277957
124370294
132875675
1419c1ba0
1511d83c4
hexc3dc90

12835984 has 40 divisors (see below), whose sum is σ = 29347328. Its totient is φ = 5322240.

The previous prime is 12835961. The next prime is 12836023. The reversal of 12835984 is 48953821.

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, 1624 + ... + 5320.

Almost surely, 212835984 is an apocalyptic number.

12835984 is a gapful number since it is divisible by the number (14) 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 12835984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673664).

12835984 is an abundant number, since it is smaller than the sum of its proper divisors (16511344).

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

12835984 is a wasteful number, since it uses less digits than its factorization.

12835984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3737 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 12835984 is about 3582.7341514547. The cubic root of 12835984 is about 234.1404178281.

The spelling of 12835984 in words is "twelve million, eight hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 3697 7394 14788 25879 29576 51758 59152 103516 114607 207032 229214 414064 458428 802249 916856 1604498 1833712 3208996 6417992 12835984