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12721696 = 251353577
BaseRepresentation
bin110000100001…
…111000100000
3212221022212221
4300201320200
511224043241
61132400424
7213063331
oct60417040
925838787
1012721696
1171a9aa9
124316114
132835640
141992288
1511b45d1
hexc21e20

12721696 has 48 divisors (see below), whose sum is σ = 27528984. Its totient is φ = 5750784.

The previous prime is 12721693. The next prime is 12721703. The reversal of 12721696 is 69612721.

It can be written as a sum of positive squares in 4 ways, for example, as 12531600 + 190096 = 3540^2 + 436^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12721693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21760 + ... + 22336.

Almost surely, 212721696 is an apocalyptic number.

12721696 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 12721696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764492).

12721696 is an abundant number, since it is smaller than the sum of its proper divisors (14807288).

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

12721696 is a wasteful number, since it uses less digits than its factorization.

12721696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 12721696 is about 3566.7486594937. The cubic root of 12721696 is about 233.4434382851.

The spelling of 12721696 in words is "twelve million, seven hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 577 689 848 1154 1378 1696 2308 2756 4616 5512 7501 9232 11024 15002 18464 22048 30004 30581 60008 61162 120016 122324 240032 244648 397553 489296 795106 978592 1590212 3180424 6360848 12721696