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12748560 = 2435112439
BaseRepresentation
bin110000101000…
…011100010000
3212222200201220
4300220130100
511230423220
61133125040
7213234546
oct60503420
925880656
1012748560
117218200
124329780
132844936
14199bd96
1511bc540
hexc28710

12748560 has 120 divisors (see below), whose sum is σ = 43538880. Its totient is φ = 3083520.

The previous prime is 12748553. The next prime is 12748579. The reversal of 12748560 is 6584721.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28821 + ... + 29259.

It is an arithmetic number, because the mean of its divisors is an integer number (362824).

Almost surely, 212748560 is an apocalyptic number.

12748560 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 12748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769440).

12748560 is an abundant number, since it is smaller than the sum of its proper divisors (30790320).

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

12748560 is a wasteful number, since it uses less digits than its factorization.

12748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12748560 is about 3570.5125682456. The cubic root of 12748560 is about 233.6076411149.

The spelling of 12748560 in words is "twelve million, seven hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 439 440 484 528 605 660 726 878 880 968 1210 1317 1320 1452 1756 1815 1936 2195 2420 2634 2640 2904 3512 3630 4390 4829 4840 5268 5808 6585 7024 7260 8780 9658 9680 10536 13170 14487 14520 17560 19316 21072 24145 26340 28974 29040 35120 38632 48290 52680 53119 57948 72435 77264 96580 105360 106238 115896 144870 159357 193160 212476 231792 265595 289740 318714 386320 424952 531190 579480 637428 796785 849904 1062380 1158960 1274856 1593570 2124760 2549712 3187140 4249520 6374280 12748560