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12115664 = 2411234173
BaseRepresentation
bin101110001101…
…111011010000
3211210112120022
4232031323100
511100200124
61111403012
7204660431
oct56157320
924715508
1012115664
116925750
124083468
132682842
141875488
1510e4c5e
hexb8ded0

12115664 has 80 divisors (see below), whose sum is σ = 27748224. Its totient is φ = 5068800.

The previous prime is 12115661. The next prime is 12115669. The reversal of 12115664 is 46651121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115661) 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, 165932 + ... + 166004.

Almost surely, 212115664 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 12115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874112).

12115664 is an abundant number, since it is smaller than the sum of its proper divisors (15632560).

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

12115664 is a wasteful number, since it uses less digits than its factorization.

12115664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 12115664 is about 3480.7562396698. The cubic root of 12115664 is about 229.6760657211.

Adding to 12115664 its reverse (46651121), we get a palindrome (58766785).

The spelling of 12115664 in words is "twelve million, one hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 41 44 46 73 82 88 92 146 164 176 184 253 292 328 368 451 506 584 656 803 902 943 1012 1168 1606 1679 1804 1886 2024 2993 3212 3358 3608 3772 4048 5986 6424 6716 7216 7544 10373 11972 12848 13432 15088 18469 20746 23944 26864 32923 36938 41492 47888 65846 68839 73876 82984 131692 137678 147752 165968 263384 275356 295504 526768 550712 757229 1101424 1514458 3028916 6057832 12115664