Search a number
-
+
12028672 = 28192473
BaseRepresentation
bin101101111000…
…101100000000
3211122010020101
4231320230000
511034404142
61105452144
7204146005
oct55705400
924563211
1012028672
116876357
124041054
132652076
1418518ac
1510c90b7
hexb78b00

12028672 has 36 divisors (see below), whose sum is σ = 25284280. Its totient is φ = 5695488.

The previous prime is 12028669. The next prime is 12028693. The reversal of 12028672 is 27682021.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12028672.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3628 + ... + 6100.

Almost surely, 212028672 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 12028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642140).

12028672 is an abundant number, since it is smaller than the sum of its proper divisors (13255608).

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

12028672 is an equidigital number, since it uses as much as digits as its factorization.

12028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 12028672 is about 3468.2375927840. The cubic root of 12028672 is about 229.1250437390.

The spelling of 12028672 in words is "twelve million, twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 2473 4864 4946 9892 19784 39568 46987 79136 93974 158272 187948 316544 375896 633088 751792 1503584 3007168 6014336 12028672