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12291468 = 22371311117
BaseRepresentation
bin101110111000…
…110110001100
3212010110201120
4232320312030
511121311333
61115240540
7206322120
oct56706614
925113646
1012291468
116a35842
124149150
132714877
1418bd580
15112bdb3
hexbb8d8c

12291468 has 48 divisors (see below), whose sum is σ = 33057024. Its totient is φ = 3481920.

The previous prime is 12291463. The next prime is 12291491. The reversal of 12291468 is 86419221.

It is not an unprimeable number, because it can be changed into a prime (12291463) 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 15 ways as a sum of consecutive naturals, for example, 10446 + ... + 11562.

It is an arithmetic number, because the mean of its divisors is an integer number (688688).

Almost surely, 212291468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12291468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528512).

12291468 is an abundant number, since it is smaller than the sum of its proper divisors (20765556).

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

12291468 is a wasteful number, since it uses less digits than its factorization.

12291468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 12291468 is about 3505.9189950710. The cubic root of 12291468 is about 230.7816380680.

The spelling of 12291468 in words is "twelve million, two hundred ninety-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1117 1572 1834 2234 2751 3351 3668 4468 5502 6702 7819 11004 13404 15638 23457 31276 46914 93828 146327 292654 438981 585308 877962 1024289 1755924 2048578 3072867 4097156 6145734 12291468