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12248136 = 2332672539
BaseRepresentation
bin101110101110…
…010001001000
3212001021021200
4232232101020
511113420021
61114304200
7206051565
oct56562110
925037250
1012248136
116a0622a
124128060
1326cac24
1418ab86c
15111e126
hexbae448

12248136 has 48 divisors (see below), whose sum is σ = 33680400. Its totient is φ = 4020192.

The previous prime is 12248123. The next prime is 12248149. The reversal of 12248136 is 63184221.

It is an interprime number because it is at equal distance from previous prime (12248123) and next prime (12248149).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3555 + ... + 6093.

It is an arithmetic number, because the mean of its divisors is an integer number (701675).

Almost surely, 212248136 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 12248136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16840200).

12248136 is an abundant number, since it is smaller than the sum of its proper divisors (21432264).

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

12248136 is a wasteful number, since it uses less digits than its factorization.

12248136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2611 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12248136 is about 3499.7337041552. The cubic root of 12248136 is about 230.5101216925.

The spelling of 12248136 in words is "twelve million, two hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 2539 4824 5078 7617 10156 15234 20312 22851 30468 45702 60936 91404 170113 182808 340226 510339 680452 1020678 1360904 1531017 2041356 3062034 4082712 6124068 12248136