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12244128 = 253139811
BaseRepresentation
bin101110101101…
…010010100000
3212001001210020
4232231102200
511113303003
61114233440
7206034111
oct56552240
925031706
1012244128
116a03216
124125880
1326c9160
1418aa208
15111cd53
hexbad4a0

12244128 has 48 divisors (see below), whose sum is σ = 34616736. Its totient is φ = 3767040.

The previous prime is 12244109. The next prime is 12244139. The reversal of 12244128 is 82144221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 12244098 and 12244107.

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 7 ways as a sum of consecutive naturals, for example, 3658 + ... + 6153.

It is an arithmetic number, because the mean of its divisors is an integer number (721182).

Almost surely, 212244128 is an apocalyptic number.

It is an amenable number.

12244128 is an abundant number, since it is smaller than the sum of its proper divisors (22372608).

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

12244128 is a wasteful number, since it uses less digits than its factorization.

12244128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9837 (or 9829 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 12244128 is about 3499.1610423071. The cubic root of 12244128 is about 230.4849754073.

Adding to 12244128 its reverse (82144221), we get a palindrome (94388349).

The spelling of 12244128 in words is "twelve million, two hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9811 19622 29433 39244 58866 78488 117732 127543 156976 235464 255086 313952 382629 470928 510172 765258 941856 1020344 1530516 2040688 3061032 4081376 6122064 12244128