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2006160 = 243513643
BaseRepresentation
bin111101001110010010000
310202220221020
413221302100
51003144120
6110555440
723023602
oct7516220
93686836
102006160
111150292
12808b80
135531a0
143a3172
15299640
hex1e9c90

2006160 has 80 divisors (see below), whose sum is σ = 6707904. Its totient is φ = 493056.

The previous prime is 2006159. The next prime is 2006183. The reversal of 2006160 is 616002.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2799 + ... + 3441.

22006160 is an apocalyptic number.

2006160 is a gapful number since it is divisible by the number (20) 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 2006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353952).

2006160 is an abundant number, since it is smaller than the sum of its proper divisors (4701744).

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

2006160 is a wasteful number, since it uses less digits than its factorization.

2006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2006160 is about 1416.3897768623. The cubic root of 2006160 is about 126.1213243094.

The spelling of 2006160 in words is "two million, six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 643 780 1040 1286 1560 1929 2572 3120 3215 3858 5144 6430 7716 8359 9645 10288 12860 15432 16718 19290 25077 25720 30864 33436 38580 41795 50154 51440 66872 77160 83590 100308 125385 133744 154320 167180 200616 250770 334360 401232 501540 668720 1003080 2006160