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12041352 = 2333107521
BaseRepresentation
bin101101111011…
…110010001000
3211122202122000
4231323302020
511040310402
61110031000
7204230661
oct55736210
924582560
1012041352
116884934
124048460
132657a7b
141856368
1510ccc1c
hexb7bc88

12041352 has 64 divisors (see below), whose sum is σ = 33825600. Its totient is φ = 3968640.

The previous prime is 12041329. The next prime is 12041363. The reversal of 12041352 is 25314021.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22852 + ... + 23372.

It is an arithmetic number, because the mean of its divisors is an integer number (528525).

Almost surely, 212041352 is an apocalyptic number.

12041352 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 12041352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912800).

12041352 is an abundant number, since it is smaller than the sum of its proper divisors (21784248).

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

12041352 is a wasteful number, since it uses less digits than its factorization.

12041352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12041352 is about 3470.0651290718. The cubic root of 12041352 is about 229.2055260311.

Adding to 12041352 its reverse (25314021), we get a palindrome (37355373).

It can be divided in two parts, 1204 and 1352, that added together give a triangular number (2556 = T71).

The spelling of 12041352 in words is "twelve million, forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 521 642 856 963 1042 1284 1563 1926 2084 2568 2889 3126 3852 4168 4689 5778 6252 7704 9378 11556 12504 14067 18756 23112 28134 37512 55747 56268 111494 112536 167241 222988 334482 445976 501723 668964 1003446 1337928 1505169 2006892 3010338 4013784 6020676 12041352