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12517980 = 22352347193
BaseRepresentation
bin101111110000…
…001001011100
3212112222102220
4233300021130
511201033410
61124145340
7211254366
oct57601134
925488386
1012517980
11707aa42
124238250
1327939b7
14193bd36
151174070
hexbf025c

12517980 has 96 divisors (see below), whose sum is σ = 37545984. Its totient is φ = 3108864.

The previous prime is 12517969. The next prime is 12517987. The reversal of 12517980 is 8971521.

12517980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12517987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64764 + ... + 64956.

It is an arithmetic number, because the mean of its divisors is an integer number (391104).

Almost surely, 212517980 is an apocalyptic number.

12517980 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 12517980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772992).

12517980 is an abundant number, since it is smaller than the sum of its proper divisors (25028004).

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

12517980 is a wasteful number, since it uses less digits than its factorization.

12517980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 12517980 is about 3538.0757481999. The cubic root of 12517980 is about 232.1906627272.

The spelling of 12517980 in words is "twelve million, five hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 193 230 235 276 282 345 386 460 470 564 579 690 705 772 940 965 1081 1158 1380 1410 1930 2162 2316 2820 2895 3243 3860 4324 4439 5405 5790 6486 8878 9071 10810 11580 12972 13317 16215 17756 18142 21620 22195 26634 27213 32430 36284 44390 45355 53268 54426 64860 66585 88780 90710 108852 133170 136065 181420 208633 266340 272130 417266 544260 625899 834532 1043165 1251798 2086330 2503596 3129495 4172660 6258990 12517980