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1327360 = 2851761
BaseRepresentation
bin101000100000100000000
32111102210111
411010010000
5314433420
644241104
714165566
oct5040400
92442714
101327360
118272a1
12540194
13376228
14267a36
151b345a
hex144100

1327360 has 72 divisors (see below), whose sum is σ = 3421656. Its totient is φ = 491520.

The previous prime is 1327351. The next prime is 1327363. The reversal of 1327360 is 637231.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 1290496 = 192^2 + 1136^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327363) 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, 21730 + ... + 21790.

It is an arithmetic number, because the mean of its divisors is an integer number (47523).

21327360 is an apocalyptic number.

1327360 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 1327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710828).

1327360 is an abundant number, since it is smaller than the sum of its proper divisors (2094296).

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

1327360 is an equidigital number, since it uses as much as digits as its factorization.

1327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 1327360 is about 1152.1111057533. Note that the first 4 decimals coincide. The cubic root of 1327360 is about 109.8996329681.

The spelling of 1327360 in words is "one million, three hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 122 128 136 160 170 244 256 272 305 320 340 488 544 610 640 680 976 1037 1088 1220 1280 1360 1952 2074 2176 2440 2720 3904 4148 4352 4880 5185 5440 7808 8296 9760 10370 10880 15616 16592 19520 20740 21760 33184 39040 41480 66368 78080 82960 132736 165920 265472 331840 663680 1327360