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6668032 = 287612
BaseRepresentation
bin11001011011111100000000
3110112202211011
4121123330000
53201334112
6354530304
7110451220
oct31337400
913482734
106668032
113844878
122296994
1314c60a7
14c58080
158baaa7
hex65bf00

6668032 has 54 divisors (see below), whose sum is σ = 15464904. Its totient is φ = 2810880.

The previous prime is 6668027. The next prime is 6668033. The reversal of 6668032 is 2308666.

6668032 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 6667985 and 6668003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6668033) 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 5 ways as a sum of consecutive naturals, for example, 109282 + ... + 109342.

Almost surely, 26668032 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 6668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732452).

6668032 is an abundant number, since it is smaller than the sum of its proper divisors (8796872).

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

6668032 is an frugal number, since it uses more digits than its factorization.

6668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 6668032 is about 2582.2532795990. The cubic root of 6668032 is about 188.2200531778.

The spelling of 6668032 in words is "six million, six hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 854 896 976 1708 1792 1952 3416 3721 3904 6832 7442 7808 13664 14884 15616 26047 27328 29768 52094 54656 59536 104188 109312 119072 208376 238144 416752 476288 833504 952576 1667008 3334016 6668032