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11666430 = 23554801
BaseRepresentation
bin101100100000…
…001111111110
3210221201100000
4230200033332
510441311210
61054015130
7201106626
oct54401776
923851300
1011666430
116649186
123aa74a6
132556219
141799886
151056ac0
hexb203fe

11666430 has 48 divisors (see below), whose sum is σ = 31462704. Its totient is φ = 3110400.

The previous prime is 11666429. The next prime is 11666461. The reversal of 11666430 is 3466611.

It is a super-2 number, since 2×116664302 = 272211177889800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11666394 and 11666403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30 + ... + 4830.

It is an arithmetic number, because the mean of its divisors is an integer number (655473).

Almost surely, 211666430 is an apocalyptic number.

11666430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11666430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15731352).

11666430 is an abundant number, since it is smaller than the sum of its proper divisors (19796274).

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

11666430 is an equidigital number, since it uses as much as digits as its factorization.

11666430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 11666430 is about 3415.6156106916. The cubic root of 11666430 is about 226.8015369006.

The spelling of 11666430 in words is "eleven million, six hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 4801 9602 14403 24005 28806 43209 48010 72015 86418 129627 144030 216045 259254 388881 432090 648135 777762 1166643 1296270 1944405 2333286 3888810 5833215 11666430