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1206320 = 24517887
BaseRepresentation
bin100100110100000110000
32021021202112
410212200300
5302100240
641504452
713152653
oct4464060
92237675
101206320
11754365
124a2128
133330cb
1423589a
1518c665
hex126830

1206320 has 40 divisors (see below), whose sum is σ = 2973024. Its totient is φ = 453632.

The previous prime is 1206319. The next prime is 1206323. The reversal of 1206320 is 236021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1206295 and 1206304.

It is not an unprimeable number, because it can be changed into a prime (1206323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917 + ... + 1803.

21206320 is an apocalyptic number.

1206320 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 1206320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486512).

1206320 is an abundant number, since it is smaller than the sum of its proper divisors (1766704).

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

1206320 is a wasteful number, since it uses less digits than its factorization.

1206320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1206320 is about 1098.3259989639. The cubic root of 1206320 is about 106.4520859799.

Subtracting from 1206320 its reverse (236021), we obtain a cube (970299 = 993).

The spelling of 1206320 in words is "one million, two hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 887 1360 1774 3548 4435 7096 8870 14192 15079 17740 30158 35480 60316 70960 75395 120632 150790 241264 301580 603160 1206320