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1327984 = 24771167
BaseRepresentation
bin101000100001101110000
32111110122121
411010031300
5314443414
644244024
714200450
oct5041560
92443577
101327984
11827809
12540614
133765b8
14267d60
151b3724
hex144370

1327984 has 40 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 557760.

The previous prime is 1327973. The next prime is 1327987. The reversal of 1327984 is 4897231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7869 + ... + 8035.

21327984 is an apocalyptic number.

1327984 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 1327984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1327984 is an abundant number, since it is smaller than the sum of its proper divisors (1671824).

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

1327984 is a wasteful number, since it uses less digits than its factorization.

1327984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

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

The square root of 1327984 is about 1152.3818811488. The cubic root of 1327984 is about 109.9168517652.

The spelling of 1327984 in words is "one million, three hundred twenty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 167 284 334 497 568 668 994 1136 1169 1336 1988 2338 2672 3976 4676 7952 9352 11857 18704 23714 47428 82999 94856 165998 189712 331996 663992 1327984