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5966336 = 2943271
BaseRepresentation
bin10110110000101000000000
3102020010021102
4112300220000
53011410321
6331513532
7101466365
oct26605000
912203242
105966336
113405662
121bb88a8
13130b89c
14b1446c
157ccc0b
hex5b0a00

5966336 has 40 divisors (see below), whose sum is σ = 12243264. Its totient is φ = 2903040.

The previous prime is 5966309. The next prime is 5966339. The reversal of 5966336 is 6336695.

It is a self number, because there is not a number n which added to its sum of digits gives 5966336.

It is not an unprimeable number, because it can be changed into a prime (5966339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21881 + ... + 22151.

Almost surely, 25966336 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 5966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121632).

5966336 is an abundant number, since it is smaller than the sum of its proper divisors (6276928).

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

5966336 is an equidigital number, since it uses as much as digits as its factorization.

5966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its digits is 87480, while the sum is 38.

The square root of 5966336 is about 2442.6084418097. The cubic root of 5966336 is about 181.3715797834.

The spelling of 5966336 in words is "five million, nine hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 271 344 512 542 688 1084 1376 2168 2752 4336 5504 8672 11008 11653 17344 22016 23306 34688 46612 69376 93224 138752 186448 372896 745792 1491584 2983168 5966336