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143382000 = 24353231039
BaseRepresentation
bin10001000101111…
…01010111110000
3100222210120010110
420202331113300
5243201211000
622121101320
73360504216
oct1042752760
9328716113
10143382000
1173a32023
1240027840
1323922828
1415084cb6
15c8c3850
hex88bd5f0

143382000 has 160 divisors (see below), whose sum is σ = 482826240. Its totient is φ = 36537600.

The previous prime is 143381983. The next prime is 143382011. The reversal of 143382000 is 283341.

It is a happy number.

143382000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137481 + ... + 138519.

It is an arithmetic number, because the mean of its divisors is an integer number (3017664).

Almost surely, 2143382000 is an apocalyptic number.

143382000 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 143382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241413120).

143382000 is an abundant number, since it is smaller than the sum of its proper divisors (339444240).

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

143382000 is a wasteful number, since it uses less digits than its factorization.

143382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 143382000 is about 11974.2223129521. Note that the first 3 decimals coincide. The cubic root of 143382000 is about 523.3973803809.

The spelling of 143382000 in words is "one hundred forty-three million, three hundred eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1039 1104 1150 1200 1380 1500 1725 1840 2000 2078 2300 2760 2875 3000 3117 3450 4156 4600 5195 5520 5750 6000 6234 6900 8312 8625 9200 10390 11500 12468 13800 15585 16624 17250 20780 23000 23897 24936 25975 27600 31170 34500 41560 46000 47794 49872 51950 62340 69000 71691 77925 83120 95588 103900 119485 124680 129875 138000 143382 155850 191176 207800 238970 249360 259750 286764 311700 358455 382352 389625 415600 477940 519500 573528 597425 623400 716910 779250 955880 1039000 1147056 1194850 1246800 1433820 1558500 1792275 1911760 2078000 2389700 2867640 2987125 3117000 3584550 4779400 5735280 5974250 6234000 7169100 8961375 9558800 11948500 14338200 17922750 23897000 28676400 35845500 47794000 71691000 143382000