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12253050 = 2325273373
BaseRepresentation
bin101110101111…
…011101111010
3212001112000200
4232233131322
511114044200
61114343030
7206102115
oct56573572
925045020
1012253050
116a09997
12412aa76
132700234
1418ad57c
151120800
hexbaf77a

12253050 has 72 divisors (see below), whose sum is σ = 33460284. Its totient is φ = 3214080.

The previous prime is 12253013. The next prime is 12253057. The reversal of 12253050 is 5035221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5076009 + 7177041 = 2253^2 + 2679^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32664 + ... + 33036.

Almost surely, 212253050 is an apocalyptic number.

12253050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12253050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730142).

12253050 is an abundant number, since it is smaller than the sum of its proper divisors (21207234).

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

12253050 is a wasteful number, since it uses less digits than its factorization.

12253050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 12253050 is about 3500.4356871681. The cubic root of 12253050 is about 230.5409447578.

Adding to 12253050 its reverse (5035221), we get a palindrome (17288271).

The spelling of 12253050 in words is "twelve million, two hundred fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 373 438 450 657 730 746 1095 1119 1314 1825 1865 2190 2238 3285 3357 3650 3730 5475 5595 6570 6714 9325 10950 11190 16425 16785 18650 27229 27975 32850 33570 54458 55950 81687 83925 136145 163374 167850 245061 272290 408435 490122 680725 816870 1225305 1361450 2042175 2450610 4084350 6126525 12253050