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12747328 = 261119953
BaseRepresentation
bin110000101000…
…001001000000
3212222122001021
4300220021000
511230403303
61133115224
7213231136
oct60501100
925878037
1012747328
117217290
124328b14
1328441c9
14199b756
1511bbebd
hexc28240

12747328 has 56 divisors (see below), whose sum is σ = 29077920. Its totient is φ = 5483520.

The previous prime is 12747323. The next prime is 12747337. The reversal of 12747328 is 82374721.

It is a super-2 number, since 2×127473282 = 324988742279168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12747293 and 12747302.

It is not an unprimeable number, because it can be changed into a prime (12747323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12900 + ... + 13852.

Almost surely, 212747328 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 12747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538960).

12747328 is an abundant number, since it is smaller than the sum of its proper divisors (16330592).

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

12747328 is a wasteful number, since it uses less digits than its factorization.

12747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 12747328 is about 3570.3400398281. The cubic root of 12747328 is about 233.6001157190.

The spelling of 12747328 in words is "twelve million, seven hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 953 1216 1672 1906 3344 3812 6688 7624 10483 13376 15248 18107 20966 30496 36214 41932 60992 72428 83864 144856 167728 199177 289712 335456 398354 579424 670912 796708 1158848 1593416 3186832 6373664 12747328