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1318320 = 243251831
BaseRepresentation
bin101000001110110110000
32110222101200
411001312300
5314141240
644131200
714130333
oct5016660
92428350
101318320
11820523
12536b00
13372093
1426461a
151b0930
hex141db0

1318320 has 60 divisors (see below), whose sum is σ = 4429776. Its totient is φ = 351360.

The previous prime is 1318313. The next prime is 1318349. The reversal of 1318320 is 238131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1318293 and 1318302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196 + ... + 1635.

21318320 is an apocalyptic number.

1318320 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 1318320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214888).

1318320 is an abundant number, since it is smaller than the sum of its proper divisors (3111456).

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

1318320 is a wasteful number, since it uses less digits than its factorization.

1318320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1318320 is about 1148.1811703734. The cubic root of 1318320 is about 109.6495735388.

It can be divided in two parts, 13183 and 20, that added together give a triangular number (13203 = T162).

The spelling of 1318320 in words is "one million, three hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1831 3662 5493 7324 9155 10986 14648 16479 18310 21972 27465 29296 32958 36620 43944 54930 65916 73240 82395 87888 109860 131832 146480 164790 219720 263664 329580 439440 659160 1318320