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12657372 = 22371367173
BaseRepresentation
bin110000010010…
…001011011100
3212211001122120
4300102023130
511220013442
61131142540
7212404650
oct60221334
925731576
1012657372
117165742
1242a4a50
132812290
141976a60
1511a04ec
hexc122dc

12657372 has 96 divisors (see below), whose sum is σ = 37105152. Its totient is φ = 3269376.

The previous prime is 12657353. The next prime is 12657377. The reversal of 12657372 is 27375621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12657377) 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, 73078 + ... + 73250.

It is an arithmetic number, because the mean of its divisors is an integer number (386512).

Almost surely, 212657372 is an apocalyptic number.

12657372 is a gapful number since it is divisible by the number (12) 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 12657372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18552576).

12657372 is an abundant number, since it is smaller than the sum of its proper divisors (24447780).

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

12657372 is a wasteful number, since it uses less digits than its factorization.

12657372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 12657372 is about 3557.7200564406. The cubic root of 12657372 is about 233.0493242909.

The spelling of 12657372 in words is "twelve million, six hundred fifty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 173 182 201 268 273 346 364 402 469 519 546 692 804 871 938 1038 1092 1211 1407 1742 1876 2076 2249 2422 2613 2814 3484 3633 4498 4844 5226 5628 6097 6747 7266 8996 10452 11591 12194 13494 14532 15743 18291 23182 24388 26988 31486 34773 36582 46364 47229 62972 69546 73164 81137 94458 139092 150683 162274 188916 243411 301366 324548 452049 486822 602732 904098 973644 1054781 1808196 2109562 3164343 4219124 6328686 12657372