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12053472 = 2532353103
BaseRepresentation
bin101101111110…
…101111100000
3211200101020220
4231332233200
511041202342
61110203040
7204311214
oct55765740
924611226
1012053472
116892a52
124053480
132660442
14185a944
1510d15ec
hexb7ebe0

12053472 has 96 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 3734016.

The previous prime is 12053471. The next prime is 12053477. The reversal of 12053472 is 27435021.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116973 + ... + 117075.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 212053472 is an apocalyptic number.

12053472 is a gapful number since it is divisible by the number (12) 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 12053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

12053472 is an abundant number, since it is smaller than the sum of its proper divisors (21912096).

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

12053472 is a wasteful number, since it uses less digits than its factorization.

12053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 12053472 is about 3471.8110547667. The cubic root of 12053472 is about 229.2824011045.

Adding to 12053472 its reverse (27435021), we get a palindrome (39488493).

The spelling of 12053472 in words is "twelve million, fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 103 106 138 159 184 206 212 276 309 318 368 412 424 552 618 636 736 824 848 1104 1219 1236 1272 1648 1696 2208 2369 2438 2472 2544 3296 3657 4738 4876 4944 5088 5459 7107 7314 9476 9752 9888 10918 14214 14628 16377 18952 19504 21836 28428 29256 32754 37904 39008 43672 56856 58512 65508 75808 87344 113712 117024 125557 131016 174688 227424 251114 262032 376671 502228 524064 753342 1004456 1506684 2008912 3013368 4017824 6026736 12053472