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13143000 = 2335313337
BaseRepresentation
bin110010001000…
…101111011000
3220201201210210
4302020233120
511331034000
61145411120
7216466533
oct62105730
926651723
1013143000
117467592
124499aa0
132952330
141a61a1a
151249350
hexc88bd8

13143000 has 128 divisors (see below), whose sum is σ = 44291520. Its totient is φ = 3225600.

The previous prime is 13142981. The next prime is 13143037. The reversal of 13143000 is 34131.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38832 + ... + 39168.

Almost surely, 213143000 is an apocalyptic number.

13143000 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 13143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145760).

13143000 is an abundant number, since it is smaller than the sum of its proper divisors (31148520).

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

13143000 is a wasteful number, since it uses less digits than its factorization.

13143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

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

The square root of 13143000 is about 3625.3275714065. The cubic root of 13143000 is about 235.9924827635.

Adding to 13143000 its reverse (34131), we get a palindrome (13177131).

The spelling of 13143000 in words is "thirteen million, one hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 337 375 390 500 520 600 650 674 750 780 975 1000 1011 1300 1348 1500 1560 1625 1685 1950 2022 2600 2696 3000 3250 3370 3900 4044 4381 4875 5055 6500 6740 7800 8088 8425 8762 9750 10110 13000 13143 13480 16850 17524 19500 20220 21905 25275 26286 33700 35048 39000 40440 42125 43810 50550 52572 65715 67400 84250 87620 101100 105144 109525 126375 131430 168500 175240 202200 219050 252750 262860 328575 337000 438100 505500 525720 547625 657150 876200 1011000 1095250 1314300 1642875 2190500 2628600 3285750 4381000 6571500 13143000