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5966080 = 2855979
BaseRepresentation
bin10110110000100100000000
3102020002220221
4112300210000
53011403310
6331512424
7101465551
oct26604400
912202827
105966080
11340544a
121bb8714
13130b733
14b14328
157ccada
hex5b0900

5966080 has 72 divisors (see below), whose sum is σ = 14716800. Its totient is φ = 2316288.

The previous prime is 5966063. The next prime is 5966087. The reversal of 5966080 is 806695.

It is a super-2 number, since 2×59660802 = 71188221132800, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5966087) 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 7 ways as a sum of consecutive naturals, for example, 75481 + ... + 75559.

It is an arithmetic number, because the mean of its divisors is an integer number (204400).

Almost surely, 25966080 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 5966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358400).

5966080 is an abundant number, since it is smaller than the sum of its proper divisors (8750720).

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

5966080 is an equidigital number, since it uses as much as digits as its factorization.

5966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 5966080 is about 2442.5560382517. The cubic root of 5966080 is about 181.3689856850.

The spelling of 5966080 in words is "five million, nine hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 79 80 118 128 158 160 236 256 295 316 320 395 472 590 632 640 790 944 1180 1264 1280 1580 1888 2360 2528 3160 3776 4661 4720 5056 6320 7552 9322 9440 10112 12640 15104 18644 18880 20224 23305 25280 37288 37760 46610 50560 74576 75520 93220 101120 149152 186440 298304 372880 596608 745760 1193216 1491520 2983040 5966080