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12631140 = 2235523113
BaseRepresentation
bin110000001011…
…110001100100
3212202201200000
4300023301210
511213144030
61130421300
7212235324
oct60136144
925681600
1012631140
117147a65
124291830
132803362
14196b284
151197860
hexc0bc64

12631140 has 144 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 3193344.

The previous prime is 12631111. The next prime is 12631141. The reversal of 12631140 is 4113621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12631141) 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, 111724 + ... + 111836.

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

Almost surely, 212631140 is an apocalyptic number.

12631140 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 12631140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

12631140 is an abundant number, since it is smaller than the sum of its proper divisors (29196828).

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

12631140 is a wasteful number, since it uses less digits than its factorization.

12631140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12631140 is about 3554.0315136476. The cubic root of 12631140 is about 232.8882171779. Note that the first 3 decimals are identical.

Adding to 12631140 its reverse (4113621), we get a palindrome (16744761).

The spelling of 12631140 in words is "twelve million, six hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 113 115 135 138 162 180 207 226 230 243 270 276 324 339 345 405 414 452 460 486 540 565 621 678 690 810 828 972 1017 1035 1130 1215 1242 1356 1380 1620 1695 1863 2034 2070 2260 2430 2484 2599 3051 3105 3390 3726 4068 4140 4860 5085 5198 5589 6102 6210 6780 7452 7797 9153 9315 10170 10396 11178 12204 12420 12995 15255 15594 18306 18630 20340 22356 23391 25990 27459 27945 30510 31188 36612 37260 38985 45765 46782 51980 54918 55890 61020 70173 77970 91530 93564 109836 111780 116955 137295 140346 155940 183060 210519 233910 274590 280692 350865 421038 467820 549180 631557 701730 842076 1052595 1263114 1403460 2105190 2526228 3157785 4210380 6315570 12631140