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2171280 = 243583109
BaseRepresentation
bin1000010010000110010000
311002022102210
420102012100
51023440110
6114312120
724312156
oct10220620
94068383
102171280
111253351
12888640
135b03a7
144073d6
152cd520
hex212190

2171280 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 566784.

The previous prime is 2171261. The next prime is 2171293. The reversal of 2171280 is 821712.

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

It is a nialpdrome in base 12.

It is a congruent number.

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, 19866 + ... + 19974.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

22171280 is an apocalyptic number.

2171280 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 2171280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2171280 is an abundant number, since it is smaller than the sum of its proper divisors (4703280).

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

2171280 is a wasteful number, since it uses less digits than its factorization.

2171280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2171280 is about 1473.5263825259. The cubic root of 2171280 is about 129.4907095694.

Adding to 2171280 its reverse (821712), we get a palindrome (2992992).

The spelling of 2171280 in words is "two million, one hundred seventy-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 109 120 166 218 240 249 327 332 415 436 498 545 654 664 830 872 996 1090 1245 1308 1328 1635 1660 1744 1992 2180 2490 2616 3270 3320 3984 4360 4980 5232 6540 6640 8720 9047 9960 13080 18094 19920 26160 27141 36188 45235 54282 72376 90470 108564 135705 144752 180940 217128 271410 361880 434256 542820 723760 1085640 2171280