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12253056 = 273171877
BaseRepresentation
bin101110101111…
…011110000000
3212001112000220
4232233132000
511114044211
61114343040
7206102124
oct56573600
925045026
1012253056
116a099a2
12412aa80
13270023a
1418ad584
151120806
hexbaf780

12253056 has 64 divisors (see below), whose sum is σ = 34480080. Its totient is φ = 3842048.

The previous prime is 12253013. The next prime is 12253057. The reversal of 12253056 is 65035221.

It is a tau number, because it is divible by the number of its divisors (64).

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 (12253057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5590 + ... + 7466.

Almost surely, 212253056 is an apocalyptic number.

12253056 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 12253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240040).

12253056 is an abundant number, since it is smaller than the sum of its proper divisors (22227024).

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

12253056 is a wasteful number, since it uses less digits than its factorization.

12253056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 12253056 is about 3500.4365442042. The cubic root of 12253056 is about 230.5409823877.

Adding to 12253056 its reverse (65035221), we get a palindrome (77288277).

The spelling of 12253056 in words is "twelve million, two hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 1877 2176 3264 3754 5631 6528 7508 11262 15016 22524 30032 31909 45048 60064 63818 90096 95727 120128 127636 180192 191454 240256 255272 360384 382908 510544 720768 765816 1021088 1531632 2042176 3063264 4084352 6126528 12253056