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11666214 = 233724409
BaseRepresentation
bin101100100000…
…001100100110
3210221201001000
4230200030212
510441304324
61054014130
7201106200
oct54401446
923851030
1011666214
116648aaa
123aa7346
1325560b1
141799770
1510569c9
hexb20326

11666214 has 48 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 3332448.

The previous prime is 11666191. The next prime is 11666227. The reversal of 11666214 is 41266611.

It is a super-3 number, since 3×116662143 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 211666214 is an apocalyptic number.

11666214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11666214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

11666214 is an abundant number, since it is smaller than the sum of its proper divisors (18498186).

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

11666214 is a wasteful number, since it uses less digits than its factorization.

11666214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4421 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11666214 is about 3415.5839910621. The cubic root of 11666214 is about 226.8001371741.

The spelling of 11666214 in words is "eleven million, six hundred sixty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4409 8818 13227 26454 30863 39681 61726 79362 92589 119043 185178 216041 238086 277767 432082 555534 648123 833301 1296246 1666602 1944369 3888738 5833107 11666214