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160020 = 223257127
BaseRepresentation
bin100111000100010100
322010111200
4213010110
520110040
63232500
71234350
oct470424
9263450
10160020
11aa253
1278730
1357ab3
1442460
1532630
hex27114

160020 has 72 divisors (see below), whose sum is σ = 559104. Its totient is φ = 36288.

The previous prime is 160019. The next prime is 160031. The reversal of 160020 is 20061.

160020 = T196 + T197 + ... + T203.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 159984 and 160011.

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 160020.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1197 + ... + 1323.

2160020 is an apocalyptic number.

160020 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 160020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279552).

160020 is an abundant number, since it is smaller than the sum of its proper divisors (399084).

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

160020 is a wasteful number, since it uses less digits than its factorization.

160020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 160020 is about 400.0249992188. The cubic root of 160020 is about 54.2906142523.

Adding to 160020 its reverse (20061), we get a palindrome (180081).

The spelling of 160020 in words is "one hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 381 420 508 630 635 762 889 1143 1260 1270 1524 1778 1905 2286 2540 2667 3556 3810 4445 4572 5334 5715 7620 8001 8890 10668 11430 13335 16002 17780 22860 26670 32004 40005 53340 80010 160020