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12712976 = 241923171
BaseRepresentation
bin110000011111…
…110000010000
3212220212220222
4300133300100
511223303401
61132252212
7213026033
oct60376020
925825828
1012712976
1171a34a1
124311068
132831693
14198d01a
1511b1c1b
hexc1fc10

12712976 has 60 divisors (see below), whose sum is σ = 27212544. Its totient is φ = 5745600.

The previous prime is 12712969. The next prime is 12712979. The reversal of 12712976 is 67921721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12712979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179021 + ... + 179091.

Almost surely, 212712976 is an apocalyptic number.

12712976 is a gapful number since it is divisible by the number (16) 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 12712976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606272).

12712976 is an abundant number, since it is smaller than the sum of its proper divisors (14499568).

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

12712976 is a wasteful number, since it uses less digits than its factorization.

12712976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its digits is 10584, while the sum is 35.

The square root of 12712976 is about 3565.5260481449. The cubic root of 12712976 is about 233.3900886882.

The spelling of 12712976 in words is "twelve million, seven hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 31 38 62 71 76 124 142 152 248 284 304 361 496 568 589 722 1136 1178 1349 1444 2201 2356 2698 2888 4402 4712 5396 5776 8804 9424 10792 11191 17608 21584 22382 25631 35216 41819 44764 51262 83638 89528 102524 167276 179056 205048 334552 410096 669104 794561 1589122 3178244 6356488 12712976