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12141468 = 2233172389
BaseRepresentation
bin101110010100…
…001110011100
3211211211222000
4232110032130
511102011333
61112122300
7205125603
oct56241634
924754860
1012141468
116943079
124096390
132691501
141880a3a
1510ec713
hexb9439c

12141468 has 72 divisors (see below), whose sum is σ = 33524400. Its totient is φ = 3799296.

The previous prime is 12141449. The next prime is 12141499. The reversal of 12141468 is 86414121.

It is a happy number.

12141468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31018 + ... + 31406.

Almost surely, 212141468 is an apocalyptic number.

12141468 is a gapful number since it is divisible by the number (18) 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 12141468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762200).

12141468 is an abundant number, since it is smaller than the sum of its proper divisors (21382932).

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

12141468 is a wasteful number, since it uses less digits than its factorization.

12141468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 411 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12141468 is about 3484.4609339179. The cubic root of 12141468 is about 229.8390051659.

Adding to 12141468 its reverse (86414121), we get a palindrome (98555589).

The spelling of 12141468 in words is "twelve million, one hundred forty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 389 459 578 612 778 867 918 1156 1167 1556 1734 1836 2334 2601 3468 3501 4668 5202 6613 7002 7803 10404 10503 13226 14004 15606 19839 21006 26452 31212 39678 42012 59517 79356 112421 119034 178551 224842 238068 337263 357102 449684 674526 714204 1011789 1349052 2023578 3035367 4047156 6070734 12141468