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143892 = 22327571
BaseRepresentation
bin100011001000010100
321022101100
4203020110
514101032
63030100
71136340
oct431024
9238340
10143892
1199121
126b330
1350658
143a620
152c97c
hex23214

143892 has 36 divisors (see below), whose sum is σ = 416416. Its totient is φ = 41040.

The previous prime is 143881. The next prime is 143909. The reversal of 143892 is 298341.

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 143892.

It is an unprimeable number.

143892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 537.

2143892 is an apocalyptic number.

143892 is a gapful number since it is divisible by the number (12) 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 143892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208208).

143892 is an abundant number, since it is smaller than the sum of its proper divisors (272524).

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

143892 is a wasteful number, since it uses less digits than its factorization.

143892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 583 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 143892 is about 379.3309900338. The cubic root of 143892 is about 52.4017208999.

Subtracting 143892 from its reverse (298341), we obtain a square (154449 = 3932).

It can be divided in two parts, 143 and 892, that added together give a triangular number (1035 = T45).

The spelling of 143892 in words is "one hundred forty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 571 1142 1713 2284 3426 3997 5139 6852 7994 10278 11991 15988 20556 23982 35973 47964 71946 143892