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2002160 = 24529863
BaseRepresentation
bin111101000110011110000
310202201110002
413220303300
51003032120
6110525132
723006126
oct7506360
93681402
102002160
111148286
128067a8
13551414
143a1916
15298375
hex1e8cf0

2002160 has 40 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 772352.

The previous prime is 2002159. The next prime is 2002199. The reversal of 2002160 is 612002.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1889 + ... + 2751.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

22002160 is an apocalyptic number.

2002160 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 2002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2002160 is an abundant number, since it is smaller than the sum of its proper divisors (2818960).

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

2002160 is a wasteful number, since it uses less digits than its factorization.

2002160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2002160 is about 1414.9770316157. The cubic root of 2002160 is about 126.0374458285.

Adding to 2002160 its reverse (612002), we get a palindrome (2614162).

The spelling of 2002160 in words is "two million, two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 863 1160 1726 2320 3452 4315 6904 8630 13808 17260 25027 34520 50054 69040 100108 125135 200216 250270 400432 500540 1001080 2002160