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6616116 = 22321367211
BaseRepresentation
bin11001001111010000110100
3110110010121100
4121033100310
53143203431
6353450100
7110143653
oct31172064
913403540
106616116
113809871
122270930
1314a8580
14c4319a
158aa4e6
hex64f434

6616116 has 72 divisors (see below), whose sum is σ = 18365984. Its totient is φ = 1995840.

The previous prime is 6616087. The next prime is 6616117. The reversal of 6616116 is 6116166.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6616116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6616117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31251 + ... + 31461.

Almost surely, 26616116 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 6616116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182992).

6616116 is an abundant number, since it is smaller than the sum of its proper divisors (11749868).

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

6616116 is a wasteful number, since it uses less digits than its factorization.

6616116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 296 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 6616116 is about 2572.1811755784. The cubic root of 6616116 is about 187.7302983518.

The spelling of 6616116 in words is "six million, six hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 211 234 268 402 422 468 603 633 804 844 871 1206 1266 1742 1899 2412 2532 2613 2743 3484 3798 5226 5486 7596 7839 8229 10452 10972 14137 15678 16458 24687 28274 31356 32916 42411 49374 56548 84822 98748 127233 169644 183781 254466 367562 508932 551343 735124 1102686 1654029 2205372 3308058 6616116