Search a number
-
+
12387072 = 2831272
BaseRepresentation
bin101111010000…
…001100000000
3212022022212110
4233100030000
511132341242
61121255320
7210200625
oct57201400
925268773
1012387072
116aa0655
124194540
132749239
14190634c
15114a39c
hexbd0300

12387072 has 54 divisors (see below), whose sum is σ = 33229308. Its totient is φ = 4096512.

The previous prime is 12387071. The next prime is 12387077. The reversal of 12387072 is 27078321.

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

It is not an unprimeable number, because it can be changed into a prime (12387071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97473 + ... + 97599.

Almost surely, 212387072 is an apocalyptic number.

12387072 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 12387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614654).

12387072 is an abundant number, since it is smaller than the sum of its proper divisors (20842236).

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

12387072 is an frugal number, since it uses more digits than its factorization.

12387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 12387072 is about 3519.5272409800. The cubic root of 12387072 is about 231.3784392903.

The spelling of 12387072 in words is "twelve million, three hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 1016 1524 2032 3048 4064 6096 8128 12192 16129 16256 24384 32258 32512 48387 48768 64516 96774 97536 129032 193548 258064 387096 516128 774192 1032256 1548384 2064512 3096768 4129024 6193536 12387072