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12741660 = 2232571997
BaseRepresentation
bin110000100110…
…110000011100
3212222100021100
4300212300130
511230213120
61133033100
7213205461
oct60466034
925870240
1012741660
117212aa8
124325790
132841759
141999668
1511ba490
hexc26c1c

12741660 has 72 divisors (see below), whose sum is σ = 39233376. Its totient is φ = 3346560.

The previous prime is 12741613. The next prime is 12741661. The reversal of 12741660 is 6614721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12741661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12282 + ... + 13278.

It is an arithmetic number, because the mean of its divisors is an integer number (544908).

Almost surely, 212741660 is an apocalyptic number.

12741660 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 12741660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19616688).

12741660 is an abundant number, since it is smaller than the sum of its proper divisors (26491716).

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

12741660 is a wasteful number, since it uses less digits than its factorization.

12741660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12741660 is about 3569.5461896437. The cubic root of 12741660 is about 233.5654877628.

Adding to 12741660 its product of nonzero digits (2016), we get a triangular number (12743676 = T5048).

The spelling of 12741660 in words is "twelve million, seven hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 997 1065 1278 1420 1994 2130 2556 2991 3195 3988 4260 4985 5982 6390 8973 9970 11964 12780 14955 17946 19940 29910 35892 44865 59820 70787 89730 141574 179460 212361 283148 353935 424722 637083 707870 849444 1061805 1274166 1415740 2123610 2548332 3185415 4247220 6370830 12741660