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12307984 = 2413471259
BaseRepresentation
bin101110111100…
…111000010000
3212011022101021
4232330320100
511122323414
61115445224
7206421223
oct56747020
925138337
1012307984
116a47197
124156814
13271c240
1418c55ba
151131c24
hexbbce10

12307984 has 40 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 5555328.

The previous prime is 12307957. The next prime is 12307993. The reversal of 12307984 is 48970321.

12307984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9147 + ... + 10405.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 212307984 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 12307984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

12307984 is an abundant number, since it is smaller than the sum of its proper divisors (13940336).

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

12307984 is a wasteful number, since it uses less digits than its factorization.

12307984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 12307984 is about 3508.2736495319. The cubic root of 12307984 is about 230.8849586152.

The spelling of 12307984 in words is "twelve million, three hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 1259 2444 2518 4888 5036 9776 10072 16367 20144 32734 59173 65468 118346 130936 236692 261872 473384 769249 946768 1538498 3076996 6153992 12307984