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16680006 = 23574903
BaseRepresentation
bin111111101000…
…010001000110
31011101102200000
4333220101012
513232230011
61353302130
7261530520
oct77502106
934342600
1016680006
119462a32
125704946
1335c0235
142302a10
1516e7356
hexfe8446

16680006 has 48 divisors (see below), whose sum is σ = 42841344. Its totient is φ = 4764744.

The previous prime is 16679987. The next prime is 16680019. The reversal of 16680006 is 60008661.

16680006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 951 + ... + 5853.

It is an arithmetic number, because the mean of its divisors is an integer number (892528).

Almost surely, 216680006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16680006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21420672).

16680006 is an abundant number, since it is smaller than the sum of its proper divisors (26161338).

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

16680006 is an equidigital number, since it uses as much as digits as its factorization.

16680006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4915 counting only the distinct ones).

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

The square root of 16680006 is about 4084.1163058855. The cubic root of 16680006 is about 255.5046063382.

Adding to 16680006 its reverse (60008661), we get a palindrome (76688667).

The spelling of 16680006 in words is "sixteen million, six hundred eighty thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 4903 9806 14709 29418 34321 44127 68642 88254 102963 132381 205926 264762 308889 397143 617778 794286 926667 1191429 1853334 2382858 2780001 5560002 8340003 16680006