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12717072 = 2432471879
BaseRepresentation
bin110000100000…
…110000010000
3212221002112200
4300200300100
511223421242
61132323200
7213044004
oct60406020
925832480
1012717072
1171a6585
124313500
1328334c4
141990704
1511b304c
hexc20c10

12717072 has 60 divisors (see below), whose sum is σ = 36366720. Its totient is φ = 4146624.

The previous prime is 12717043. The next prime is 12717073. The reversal of 12717072 is 27071721.

It is not an unprimeable number, because it can be changed into a prime (12717073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5829 + ... + 7707.

It is an arithmetic number, because the mean of its divisors is an integer number (606112).

Almost surely, 212717072 is an apocalyptic number.

12717072 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 12717072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18183360).

12717072 is an abundant number, since it is smaller than the sum of its proper divisors (23649648).

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

12717072 is a wasteful number, since it uses less digits than its factorization.

12717072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 12717072 is about 3566.1003911836. The cubic root of 12717072 is about 233.4151513526.

Adding to 12717072 its reverse (27071721), we get a palindrome (39788793).

The spelling of 12717072 in words is "twelve million, seven hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 1879 2256 3384 3758 5637 6768 7516 11274 15032 16911 22548 30064 33822 45096 67644 88313 90192 135288 176626 264939 270576 353252 529878 706504 794817 1059756 1413008 1589634 2119512 3179268 4239024 6358536 12717072