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12141684 = 2233196197
BaseRepresentation
bin101110010100…
…010001110100
3211211212021000
4232110101310
511102013214
61112123300
7205126332
oct56242164
924755230
1012141684
116943255
124096530
132691639
141880b52
1510ec809
hexb94474

12141684 has 96 divisors (see below), whose sum is σ = 34025600. Its totient is φ = 3732480.

The previous prime is 12141671. The next prime is 12141697. The reversal of 12141684 is 48614121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12141671) and next prime (12141697).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125124 + ... + 125220.

Almost surely, 212141684 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 12141684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012800).

12141684 is an abundant number, since it is smaller than the sum of its proper divisors (21883916).

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

12141684 is a wasteful number, since it uses less digits than its factorization.

12141684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

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

The square root of 12141684 is about 3484.4919285313. The cubic root of 12141684 is about 229.8403681239.

The spelling of 12141684 in words is "twelve million, one hundred forty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 97 108 114 122 171 183 194 228 244 291 342 366 388 513 549 582 684 732 873 1026 1098 1159 1164 1647 1746 1843 2052 2196 2318 2619 3294 3477 3492 3686 4636 5238 5529 5917 6588 6954 7372 10431 10476 11058 11834 13908 16587 17751 20862 22116 23668 31293 33174 35502 41724 49761 53253 62586 66348 71004 99522 106506 112423 125172 159759 199044 213012 224846 319518 337269 449692 639036 674538 1011807 1349076 2023614 3035421 4047228 6070842 12141684