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12914560 = 275171187
BaseRepresentation
bin110001010000…
…111110000000
3220022010110001
4301100332000
511301231220
61140445344
7214525531
oct61207600
926263401
1012914560
11732099a
1243a9854
1328a2369
141a02688
15120180a
hexc50f80

12914560 has 64 divisors (see below), whose sum is σ = 32717520. Its totient is φ = 4857856.

The previous prime is 12914557. The next prime is 12914581. The reversal of 12914560 is 6541921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10287 + ... + 11473.

Almost surely, 212914560 is an apocalyptic number.

12914560 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 12914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358760).

12914560 is an abundant number, since it is smaller than the sum of its proper divisors (19802960).

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

12914560 is a wasteful number, since it uses less digits than its factorization.

12914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 12914560 is about 3593.6833472080. The cubic root of 12914560 is about 234.6172129489.

The spelling of 12914560 in words is "twelve million, nine hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1187 1360 2176 2374 2720 4748 5440 5935 9496 10880 11870 18992 20179 23740 37984 40358 47480 75968 80716 94960 100895 151936 161432 189920 201790 322864 379840 403580 645728 759680 807160 1291456 1614320 2582912 3228640 6457280 12914560