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12713940 = 22325233783
BaseRepresentation
bin110000011111…
…111111010100
3212220221020200
4300133333110
511223321230
61132300500
7213031611
oct60377724
925827220
1012713940
1171a4198
124311730
132831c55
14198d508
1511b2160
hexc1ffd4

12713940 has 144 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 3117312.

The previous prime is 12713933. The next prime is 12713941. The reversal of 12713940 is 4931721.

12713940 is a `hidden beast` number, since 1 + 271 + 394 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12713941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153139 + ... + 153221.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 212713940 is an apocalyptic number.

12713940 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 12713940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

12713940 is an abundant number, since it is smaller than the sum of its proper divisors (29114028).

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

12713940 is a wasteful number, since it uses less digits than its factorization.

12713940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12713940 is about 3565.6612290009. The cubic root of 12713940 is about 233.3959877098.

The spelling of 12713940 in words is "twelve million, seven hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 83 90 92 111 115 138 148 166 180 185 207 222 230 249 276 332 333 345 370 414 415 444 460 498 555 666 690 740 747 828 830 851 996 1035 1110 1245 1332 1380 1494 1660 1665 1702 1909 2070 2220 2490 2553 2988 3071 3330 3404 3735 3818 4140 4255 4980 5106 5727 6142 6660 7470 7636 7659 8510 9213 9545 10212 11454 12284 12765 14940 15318 15355 17020 17181 18426 19090 22908 25530 27639 28635 30636 30710 34362 36852 38180 38295 46065 51060 55278 57270 61420 68724 70633 76590 85905 92130 110556 114540 138195 141266 153180 171810 184260 211899 276390 282532 343620 353165 423798 552780 635697 706330 847596 1059495 1271394 1412660 2118990 2542788 3178485 4237980 6356970 12713940