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211140 = 223351723
BaseRepresentation
bin110011100011000100
3101201122000
4303203010
523224030
64305300
71536366
oct634304
9351560
10211140
111346a6
12a2230
1375147
1456d36
1542860
hex338c4

211140 has 96 divisors (see below), whose sum is σ = 725760. Its totient is φ = 50688.

The previous prime is 211129. The next prime is 211151. The reversal of 211140 is 41112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211129) and next prime (211151).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

211140 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 31 ways as a sum of consecutive naturals, for example, 9169 + ... + 9191.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2211140 is an apocalyptic number.

211140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 459×460.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

211140 is an abundant number, since it is smaller than the sum of its proper divisors (514620).

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

211140 is a wasteful number, since it uses less digits than its factorization.

211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211140 is about 459.4997279651. The cubic root of 211140 is about 59.5465821691.

Adding to 211140 its reverse (41112), we get a palindrome (252252).

It can be divided in two parts, 211 and 140, that added together give a triangular number (351 = T26).

The spelling of 211140 in words is "two hundred eleven thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 27 30 34 36 45 46 51 54 60 68 69 85 90 92 102 108 115 135 138 153 170 180 204 207 230 255 270 276 306 340 345 391 414 459 460 510 540 612 621 690 765 782 828 918 1020 1035 1173 1242 1380 1530 1564 1836 1955 2070 2295 2346 2484 3060 3105 3519 3910 4140 4590 4692 5865 6210 7038 7820 9180 10557 11730 12420 14076 17595 21114 23460 35190 42228 52785 70380 105570 211140