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160080 = 24352329
BaseRepresentation
bin100111000101010000
322010120220
4213011100
520110310
63233040
71234464
oct470520
9263526
10160080
11aa2a8
1278780
1357b2b
14424a4
1532670
hex27150

160080 has 80 divisors (see below), whose sum is σ = 535680. Its totient is φ = 39424.

The previous prime is 160079. The next prime is 160081. The reversal of 160080 is 80061.

It is an interprime number because it is at equal distance from previous prime (160079) and next prime (160081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5506 + ... + 5534.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2160080 is an apocalyptic number.

160080 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 160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

160080 is an abundant number, since it is smaller than the sum of its proper divisors (375600).

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

160080 is a wasteful number, since it uses less digits than its factorization.

160080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 160080 is about 400.0999875031. The cubic root of 160080 is about 54.2973988830.

The spelling of 160080 in words is "one hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 29 30 40 46 48 58 60 69 80 87 92 115 116 120 138 145 174 184 230 232 240 276 290 345 348 368 435 460 464 552 580 667 690 696 870 920 1104 1160 1334 1380 1392 1740 1840 2001 2320 2668 2760 3335 3480 4002 5336 5520 6670 6960 8004 10005 10672 13340 16008 20010 26680 32016 40020 53360 80040 160080