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211120 = 24571329
BaseRepresentation
bin110011100010110000
3101201121021
4303202300
523223440
64305224
71536340
oct634260
9351537
10211120
11134688
12a2214
1375130
1456d20
154284a
hex338b0

211120 has 80 divisors (see below), whose sum is σ = 624960. Its totient is φ = 64512.

The previous prime is 211097. The next prime is 211129. The reversal of 211120 is 21112.

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

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211129) 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, 7266 + ... + 7294.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2211120 is an apocalyptic number.

211120 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 211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

211120 is an abundant number, since it is smaller than the sum of its proper divisors (413840).

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

211120 is a wasteful number, since it uses less digits than its factorization.

211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 211120 is about 459.4779646512. The cubic root of 211120 is about 59.5447019486.

Adding to 211120 its reverse (21112), we get a palindrome (232232).

The spelling of 211120 in words is "two hundred eleven thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 35 40 52 56 58 65 70 80 91 104 112 116 130 140 145 182 203 208 232 260 280 290 364 377 406 455 464 520 560 580 728 754 812 910 1015 1040 1160 1456 1508 1624 1820 1885 2030 2320 2639 3016 3248 3640 3770 4060 5278 6032 7280 7540 8120 10556 13195 15080 16240 21112 26390 30160 42224 52780 105560 211120