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12734560 = 255195971
BaseRepresentation
bin110000100101…
…000001100000
3212221222112101
4300211001200
511230001220
61132540144
7213145666
oct60450140
925858471
1012734560
117208733
124321654
13283b457
141996c36
1511b830a
hexc25060

12734560 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4677120.

The previous prime is 12734551. The next prime is 12734573. The reversal of 12734560 is 6543721.

12734560 = T71 + T72 + ... + T424.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 179325 + ... + 179395.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 212734560 is an apocalyptic number.

12734560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12734560 is an abundant number, since it is smaller than the sum of its proper divisors (19924640).

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

12734560 is a wasteful number, since it uses less digits than its factorization.

12734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 12734560 is about 3568.5515268803. The cubic root of 12734560 is about 233.5220966851.

The spelling of 12734560 in words is "twelve million, seven hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 71 76 80 95 118 142 152 160 190 236 284 295 304 355 380 472 568 590 608 710 760 944 1121 1136 1180 1349 1420 1520 1888 2242 2272 2360 2698 2840 3040 4189 4484 4720 5396 5605 5680 6745 8378 8968 9440 10792 11210 11360 13490 16756 17936 20945 21584 22420 26980 33512 35872 41890 43168 44840 53960 67024 79591 83780 89680 107920 134048 159182 167560 179360 215840 318364 335120 397955 636728 670240 795910 1273456 1591820 2546912 3183640 6367280 12734560