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12740160 = 263523577
BaseRepresentation
bin110000100110…
…011001000000
3212222021012210
4300212121000
511230141120
61133022120
7213201216
oct60463100
925867183
1012740160
117211964
124324940
132840b74
141998cb6
1511b9ce0
hexc26640

12740160 has 112 divisors (see below), whose sum is σ = 42281856. Its totient is φ = 3244032.

The previous prime is 12740153. The next prime is 12740197. The reversal of 12740160 is 6104721.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21792 + ... + 22368.

Almost surely, 212740160 is an apocalyptic number.

12740160 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 12740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21140928).

12740160 is an abundant number, since it is smaller than the sum of its proper divisors (29541696).

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

12740160 is a wasteful number, since it uses less digits than its factorization.

12740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12740160 is about 3569.3360727172. The cubic root of 12740160 is about 233.5563219769.

Adding to 12740160 its reverse (6104721), we get a palindrome (18844881).

The spelling of 12740160 in words is "twelve million, seven hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 577 690 736 920 960 1104 1154 1380 1472 1731 1840 2208 2308 2760 2885 3462 3680 4416 4616 5520 5770 6924 7360 8655 9232 11040 11540 13271 13848 17310 18464 22080 23080 26542 27696 34620 36928 39813 46160 53084 55392 66355 69240 79626 92320 106168 110784 132710 138480 159252 184640 199065 212336 265420 276960 318504 398130 424672 530840 553920 637008 796260 849344 1061680 1274016 1592520 2123360 2548032 3185040 4246720 6370080 12740160