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211280 = 24519139
BaseRepresentation
bin110011100101010000
3101201211012
4303211100
523230110
64310052
71536656
oct634520
9351735
10211280
11134813
12a2328
1375224
1456dd6
1542905
hex33950

211280 has 40 divisors (see below), whose sum is σ = 520800. Its totient is φ = 79488.

The previous prime is 211271. The next prime is 211283. The reversal of 211280 is 82112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211283) by changing a digit.

211280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1451 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2211280 is an apocalyptic number.

211280 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 211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

211280 is an abundant number, since it is smaller than the sum of its proper divisors (309520).

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

211280 is a wasteful number, since it uses less digits than its factorization.

211280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 211280 is about 459.6520423103. The cubic root of 211280 is about 59.5597403889.

Adding to 211280 its reverse (82112), we get a palindrome (293392).

The spelling of 211280 in words is "two hundred eleven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 139 152 190 278 304 380 556 695 760 1112 1390 1520 2224 2641 2780 5282 5560 10564 11120 13205 21128 26410 42256 52820 105640 211280