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13206000 = 243533171
BaseRepresentation
bin110010011000…
…000111110000
3220211221020010
4302120013300
511340043000
61151014520
7220151313
oct62300760
926757203
1013206000
1174aa955
12450a440
132974c02
141a7a97a
15125cd50
hexc981f0

13206000 has 160 divisors (see below), whose sum is σ = 44568576. Its totient is φ = 3360000.

The previous prime is 13205989. The next prime is 13206001. The reversal of 13206000 is 60231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13206001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185965 + ... + 186035.

Almost surely, 213206000 is an apocalyptic number.

13206000 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 13206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284288).

13206000 is an abundant number, since it is smaller than the sum of its proper divisors (31362576).

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

13206000 is a wasteful number, since it uses less digits than its factorization.

13206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13206000 is about 3634.0060539300. The cubic root of 13206000 is about 236.3689527225.

Adding to 13206000 its reverse (60231), we get a palindrome (13266231).

The spelling of 13206000 in words is "thirteen million, two hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 71 75 80 93 100 120 124 125 142 150 155 186 200 213 240 248 250 284 300 310 355 372 375 400 426 465 496 500 568 600 620 710 744 750 775 852 930 1000 1065 1136 1200 1240 1420 1488 1500 1550 1704 1775 1860 2000 2130 2201 2325 2480 2840 3000 3100 3408 3550 3720 3875 4260 4402 4650 5325 5680 6000 6200 6603 7100 7440 7750 8520 8804 8875 9300 10650 11005 11625 12400 13206 14200 15500 17040 17608 17750 18600 21300 22010 23250 26412 26625 28400 31000 33015 35216 35500 37200 42600 44020 46500 52824 53250 55025 62000 66030 71000 85200 88040 93000 105648 106500 110050 132060 142000 165075 176080 186000 213000 220100 264120 275125 330150 426000 440200 528240 550250 660300 825375 880400 1100500 1320600 1650750 2201000 2641200 3301500 4402000 6603000 13206000