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211068 = 2232111341
BaseRepresentation
bin110011100001111100
3101201112100
4303201330
523223233
64305100
71536234
oct634174
9351470
10211068
11134640
12a2190
13750c0
1456cc4
1542813
hex3387c

211068 has 72 divisors (see below), whose sum is σ = 642096. Its totient is φ = 57600.

The previous prime is 211067. The next prime is 211073. The reversal of 211068 is 860112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 211068.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211068.

It is not an unprimeable number, because it can be changed into a prime (211061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5128 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2211068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048).

211068 is an abundant number, since it is smaller than the sum of its proper divisors (431028).

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

211068 is a wasteful number, since it uses less digits than its factorization.

211068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211068 is about 459.4213752102. The cubic root of 211068 is about 59.5398128196.

It can be divided in two parts, 21 and 1068, that added together give a square (1089 = 332).

The spelling of 211068 in words is "two hundred eleven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 41 44 52 66 78 82 99 117 123 132 143 156 164 198 234 246 286 369 396 429 451 468 492 533 572 738 858 902 1066 1287 1353 1476 1599 1716 1804 2132 2574 2706 3198 4059 4797 5148 5412 5863 6396 8118 9594 11726 16236 17589 19188 23452 35178 52767 70356 105534 211068