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12327072 = 253731759
BaseRepresentation
bin101111000001…
…100010100000
3212012021120020
4233001202200
511123431242
61120113440
7206530662
oct57014240
925167506
1012327072
116a5a56a
124165880
132727b34
1418cc532
1511376ec
hexbc18a0

12327072 has 48 divisors (see below), whose sum is σ = 32820480. Its totient is φ = 4050432.

The previous prime is 12327061. The next prime is 12327083. The reversal of 12327072 is 27072321.

It is an interprime number because it is at equal distance from previous prime (12327061) and next prime (12327083).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6129 + ... + 7887.

It is an arithmetic number, because the mean of its divisors is an integer number (683760).

Almost surely, 212327072 is an apocalyptic number.

12327072 is a gapful number since it is divisible by the number (12) 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 12327072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410240).

12327072 is an abundant number, since it is smaller than the sum of its proper divisors (20493408).

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

12327072 is a wasteful number, since it uses less digits than its factorization.

12327072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 12327072 is about 3510.9930219241. The cubic root of 12327072 is about 231.0042539649.

Adding to 12327072 its reverse (27072321), we get a palindrome (39399393).

The spelling of 12327072 in words is "twelve million, three hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 1759 2336 3504 3518 5277 7008 7036 10554 14072 21108 28144 42216 56288 84432 128407 168864 256814 385221 513628 770442 1027256 1540884 2054512 3081768 4109024 6163536 12327072