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12327264 = 2532231861
BaseRepresentation
bin101111000001…
…100101100000
3212012021211100
4233001211200
511123433024
61120114400
7206531355
oct57014540
925167740
1012327264
116a5a724
124165a00
132727c51
1418cc62c
1511377c9
hexbc1960

12327264 has 72 divisors (see below), whose sum is σ = 36599472. Its totient is φ = 3928320.

The previous prime is 12327251. The next prime is 12327281. The reversal of 12327264 is 46272321.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×123272642 = 303922875451392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5694 + ... + 7554.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 212327264 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 12327264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736).

12327264 is an abundant number, since it is smaller than the sum of its proper divisors (24272208).

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

12327264 is a wasteful number, since it uses less digits than its factorization.

12327264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1889 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12327264 is about 3511.0203645094. The cubic root of 12327264 is about 231.0054532923.

Adding to 12327264 its reverse (46272321), we get a palindrome (58599585).

The spelling of 12327264 in words is "twelve million, three hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 1861 2208 3312 3722 5583 6624 7444 11166 14888 16749 22332 29776 33498 42803 44664 59552 66996 85606 89328 128409 133992 171212 178656 256818 267984 342424 385227 513636 535968 684848 770454 1027272 1369696 1540908 2054544 3081816 4109088 6163632 12327264