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2189160 = 233352027
BaseRepresentation
bin1000010110011101101000
311010012222000
420112131220
51030023120
6114531000
724415251
oct10263550
94105860
102189160
111265826
12896a60
135b857c
1440db28
152d3990
hex216768

2189160 has 64 divisors (see below), whose sum is σ = 7300800. Its totient is φ = 583488.

The previous prime is 2189153. The next prime is 2189167. The reversal of 2189160 is 619812.

It is an interprime number because it is at equal distance from previous prime (2189153) and next prime (2189167).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2189167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67 + ... + 2093.

It is an arithmetic number, because the mean of its divisors is an integer number (114075).

22189160 is an apocalyptic number.

2189160 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 2189160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650400).

2189160 is an abundant number, since it is smaller than the sum of its proper divisors (5111640).

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

2189160 is a wasteful number, since it uses less digits than its factorization.

2189160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2189160 is about 1479.5810217761. The cubic root of 2189160 is about 129.8451805874.

The spelling of 2189160 in words is "two million, one hundred eighty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2027 4054 6081 8108 10135 12162 16216 18243 20270 24324 30405 36486 40540 48648 54729 60810 72972 81080 91215 109458 121620 145944 182430 218916 243240 273645 364860 437832 547290 729720 1094580 2189160