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12114360 = 233453739
BaseRepresentation
bin101110001101…
…100110111000
3211210110210000
4232031212320
511100124420
61111353000
7204653556
oct56154670
924713700
1012114360
116924775
124082760
13268207b
141874bd6
1510e4690
hexb8d9b8

12114360 has 80 divisors (see below), whose sum is σ = 40728600. Its totient is φ = 3229632.

The previous prime is 12114341. The next prime is 12114367. The reversal of 12114360 is 6341121.

It is a happy number.

It is a super-3 number, since 3×121143603 (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114367) 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 19 ways as a sum of consecutive naturals, for example, 1371 + ... + 5109.

Almost surely, 212114360 is an apocalyptic number.

12114360 is a gapful number since it is divisible by the number (10) 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 12114360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20364300).

12114360 is an abundant number, since it is smaller than the sum of its proper divisors (28614240).

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

12114360 is a wasteful number, since it uses less digits than its factorization.

12114360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12114360 is about 3480.5689190131. The cubic root of 12114360 is about 229.6678254701.

Adding to 12114360 its reverse (6341121), we get a palindrome (18455481).

The spelling of 12114360 in words is "twelve million, one hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3739 7478 11217 14956 18695 22434 29912 33651 37390 44868 56085 67302 74780 89736 100953 112170 134604 149560 168255 201906 224340 269208 302859 336510 403812 448680 504765 605718 673020 807624 1009530 1211436 1346040 1514295 2019060 2422872 3028590 4038120 6057180 12114360