Search a number
-
+
12009616 = 241767659
BaseRepresentation
bin101101110100…
…000010010000
3211121011002121
4231310002100
511033301431
61105224024
7204036313
oct55640220
924534077
1012009616
116863003
124032014
1326464a8
14184897a
1510c3611
hexb74090

12009616 has 40 divisors (see below), whose sum is σ = 25043040. Its totient is φ = 5558784.

The previous prime is 12009593. The next prime is 12009623. The reversal of 12009616 is 61690021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17895 + ... + 18553.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 212009616 is an apocalyptic number.

12009616 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 12009616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521520).

12009616 is an abundant number, since it is smaller than the sum of its proper divisors (13033424).

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

12009616 is a wasteful number, since it uses less digits than its factorization.

12009616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 12009616 is about 3465.4892872436. The cubic root of 12009616 is about 229.0039853619.

Adding to 12009616 its reverse (61690021), we get a palindrome (73699637).

It can be divided in two parts, 1200 and 9616, that added together give a square (10816 = 1042).

The spelling of 12009616 in words is "twelve million, nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 536 659 1072 1139 1318 2278 2636 4556 5272 9112 10544 11203 18224 22406 44153 44812 88306 89624 176612 179248 353224 706448 750601 1501202 3002404 6004808 12009616