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2161380 = 22351317163
BaseRepresentation
bin1000001111101011100100
311001210212010
420033223210
51023131010
6114154220
724241254
oct10175344
94053763
102161380
111246971
12882970
135a8a30
14403964
152ca620
hex20fae4

2161380 has 96 divisors (see below), whose sum is σ = 6943104. Its totient is φ = 497664.

The previous prime is 2161373. The next prime is 2161409. The reversal of 2161380 is 831612.

2161380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 13179 + ... + 13341.

It is an arithmetic number, because the mean of its divisors is an integer number (72324).

22161380 is an apocalyptic number.

2161380 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 2161380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471552).

2161380 is an abundant number, since it is smaller than the sum of its proper divisors (4781724).

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

2161380 is a wasteful number, since it uses less digits than its factorization.

2161380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2161380 is about 1470.1632562406. The cubic root of 2161380 is about 129.2936044291.

Adding to 2161380 its reverse (831612), we get a palindrome (2992992).

It can be divided in two parts, 216 and 1380, that added together give a triangular number (1596 = T56).

The spelling of 2161380 in words is "two million, one hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 163 170 195 204 221 255 260 326 340 390 442 489 510 652 663 780 815 884 978 1020 1105 1326 1630 1956 2119 2210 2445 2652 2771 3260 3315 4238 4420 4890 5542 6357 6630 8313 8476 9780 10595 11084 12714 13260 13855 16626 21190 25428 27710 31785 33252 36023 41565 42380 55420 63570 72046 83130 108069 127140 144092 166260 180115 216138 360230 432276 540345 720460 1080690 2161380