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12172672 = 27611559
BaseRepresentation
bin101110011011…
…110110000000
3211220102202201
4232123312000
511104011142
61112522544
7205315561
oct56336600
924812681
1012172672
116964566
1240b0454
1326a2785
14188c168
151106ab7
hexb9bd80

12172672 has 32 divisors (see below), whose sum is σ = 24663600. Its totient is φ = 5982720.

The previous prime is 12172661. The next prime is 12172691. The reversal of 12172672 is 27627121.

12172672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12172672.

It is a congruent number.

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, 7029 + ... + 8587.

Almost surely, 212172672 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 12172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331800).

12172672 is an abundant number, since it is smaller than the sum of its proper divisors (12490928).

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

12172672 is an equidigital number, since it uses as much as digits as its factorization.

12172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1622 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 12172672 is about 3488.9356543221. The cubic root of 12172672 is about 230.0357348383.

Adding to 12172672 its reverse (27627121), we get a palindrome (39799793).

The spelling of 12172672 in words is "twelve million, one hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1559 1952 3118 3904 6236 7808 12472 24944 49888 95099 99776 190198 199552 380396 760792 1521584 3043168 6086336 12172672