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12668760 = 23325132707
BaseRepresentation
bin110000010100…
…111101011000
3212211122021100
4300110331120
511220400020
61131311400
7212453106
oct60247530
925748240
1012668760
117173255
1242ab560
132817510
14197ac76
1511a3a90
hexc14f58

12668760 has 96 divisors (see below), whose sum is σ = 44357040. Its totient is φ = 3117312.

The previous prime is 12668753. The next prime is 12668767. The reversal of 12668760 is 6786621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12668753) and next prime (12668767).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12668767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3327 + ... + 6033.

Almost surely, 212668760 is an apocalyptic number.

12668760 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 12668760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22178520).

12668760 is an abundant number, since it is smaller than the sum of its proper divisors (31688280).

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

12668760 is a wasteful number, since it uses less digits than its factorization.

12668760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 12668760 is about 3559.3201598058. The cubic root of 12668760 is about 233.1191958295.

It can be divided in two parts, 126 and 68760, that added together give a palindrome (68886).

The spelling of 12668760 in words is "twelve million, six hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 2707 4680 5414 8121 10828 13535 16242 21656 24363 27070 32484 35191 40605 48726 54140 64968 70382 81210 97452 105573 108280 121815 140764 162420 175955 194904 211146 243630 281528 316719 324840 351910 422292 487260 527865 633438 703820 844584 974520 1055730 1266876 1407640 1583595 2111460 2533752 3167190 4222920 6334380 12668760