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12988560 = 24351323181
BaseRepresentation
bin110001100011…
…000010010000
3220102212221210
4301203002100
511311113220
61142220120
7215254344
oct61430220
926385853
1012988560
117371552
124424640
1328c9c50
141a21624
1512186e0
hexc63090

12988560 has 160 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 3041280.

The previous prime is 12988543. The next prime is 12988579. The reversal of 12988560 is 6588921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71670 + ... + 71850.

Almost surely, 212988560 is an apocalyptic number.

12988560 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 12988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

12988560 is an abundant number, since it is smaller than the sum of its proper divisors (32508528).

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

12988560 is a wasteful number, since it uses less digits than its factorization.

12988560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 12988560 is about 3603.9644837318. The cubic root of 12988560 is about 235.0644760461.

The spelling of 12988560 in words is "twelve million, nine hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 181 184 195 208 230 240 260 276 299 312 345 362 368 390 460 520 543 552 598 624 690 724 780 897 905 920 1040 1086 1104 1196 1380 1448 1495 1560 1794 1810 1840 2172 2353 2392 2715 2760 2896 2990 3120 3588 3620 4163 4344 4485 4706 4784 5430 5520 5980 7059 7176 7240 8326 8688 8970 9412 10860 11765 11960 12489 14118 14352 14480 16652 17940 18824 20815 21720 23530 23920 24978 28236 33304 35295 35880 37648 41630 43440 47060 49956 54119 56472 62445 66608 70590 71760 83260 94120 99912 108238 112944 124890 141180 162357 166520 188240 199824 216476 249780 270595 282360 324714 333040 432952 499560 541190 564720 649428 811785 865904 999120 1082380 1298856 1623570 2164760 2597712 3247140 4329520 6494280 12988560