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12690272 = 257181313
BaseRepresentation
bin110000011010…
…001101100000
3212212201210002
4300122031200
511222042042
61131555132
7212602610
oct60321540
925781702
1012690272
117188431
1242bbaa8
13282424a
141984a40
1511aa132
hexc1a360

12690272 has 48 divisors (see below), whose sum is σ = 28802592. Its totient is φ = 5391360.

The previous prime is 12690263. The next prime is 12690277. The reversal of 12690272 is 27209621.

It is a super-2 number, since 2×126902722 = 322086006867968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12690277) 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, 40388 + ... + 40700.

It is an arithmetic number, because the mean of its divisors is an integer number (600054).

Almost surely, 212690272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12690272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401296).

12690272 is an abundant number, since it is smaller than the sum of its proper divisors (16112320).

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

12690272 is a wasteful number, since it uses less digits than its factorization.

12690272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 12690272 is about 3562.3408034606. The cubic root of 12690272 is about 233.2510694132.

Adding to 12690272 its reverse (27209621), we get a palindrome (39899893).

The spelling of 12690272 in words is "twelve million, six hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 224 313 362 626 724 1252 1267 1448 2191 2504 2534 2896 4382 5008 5068 5792 8764 10016 10136 17528 20272 35056 40544 56653 70112 113306 226612 396571 453224 793142 906448 1586284 1812896 3172568 6345136 12690272