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1327000 = 23531327
BaseRepresentation
bin101000011111110011000
32111102022011
411003332120
5314431000
644235304
714164543
oct5037630
92442264
101327000
11826aa4
1253bb34
1337600c
1426785a
151b32ba
hex143f98

1327000 has 32 divisors (see below), whose sum is σ = 3107520. Its totient is φ = 530400.

The previous prime is 1326989. The next prime is 1327009. The reversal of 1327000 is 7231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327009) by changing a digit.

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, 337 + ... + 1663.

It is an arithmetic number, because the mean of its divisors is an integer number (97110).

21327000 is an apocalyptic number.

1327000 is a gapful number since it is divisible by the number (10) 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 1327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553760).

1327000 is an abundant number, since it is smaller than the sum of its proper divisors (1780520).

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

1327000 is a wasteful number, since it uses less digits than its factorization.

1327000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 1327000 is about 1151.9548602267. The cubic root of 1327000 is about 109.8896965919.

The spelling of 1327000 in words is "one million, three hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1327 2654 5308 6635 10616 13270 26540 33175 53080 66350 132700 165875 265400 331750 663500 1327000