Search a number
-
+
12733776 = 2432118039
BaseRepresentation
bin110000100100…
…110101010000
3212221221110100
4300210311100
511224440101
61132532400
7213143466
oct60446520
925857410
1012733776
117208090
124321100
13283aca3
141996836
1511b7e86
hexc24d50

12733776 has 60 divisors (see below), whose sum is σ = 38881440. Its totient is φ = 3858240.

The previous prime is 12733771. The next prime is 12733783. The reversal of 12733776 is 67733721.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 12733776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12733771) 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, 2436 + ... + 5603.

It is an arithmetic number, because the mean of its divisors is an integer number (648024).

Almost surely, 212733776 is an apocalyptic number.

12733776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12733776 is an abundant number, since it is smaller than the sum of its proper divisors (26147664).

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

12733776 is a wasteful number, since it uses less digits than its factorization.

12733776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8055 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 12733776 is about 3568.4416766987. The cubic root of 12733776 is about 233.5173043436.

Subtracting 12733776 from its reverse (67733721), we obtain a palindrome (54999945).

The spelling of 12733776 in words is "twelve million, seven hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 8039 16078 24117 32156 48234 64312 72351 88429 96468 128624 144702 176858 192936 265287 289404 353716 385872 530574 578808 707432 795861 1061148 1157616 1414864 1591722 2122296 3183444 4244592 6366888 12733776