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12720736 = 257109521
BaseRepresentation
bin110000100001…
…101001100000
3212221021120101
4300201221200
511224030421
61132352144
7213060460
oct60415140
925837511
1012720736
1171a9306
124315654
132835082
141991ba0
1511b4191
hexc21a60

12720736 has 48 divisors (see below), whose sum is σ = 28939680. Its totient is φ = 5391360.

The previous prime is 12720713. The next prime is 12720737. The reversal of 12720736 is 63702721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12720737) 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, 24156 + ... + 24676.

It is an arithmetic number, because the mean of its divisors is an integer number (602910).

Almost surely, 212720736 is an apocalyptic number.

12720736 is a gapful number since it is divisible by the number (16) 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 12720736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469840).

12720736 is an abundant number, since it is smaller than the sum of its proper divisors (16218944).

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

12720736 is a wasteful number, since it uses less digits than its factorization.

12720736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 12720736 is about 3566.6140806092. The cubic root of 12720736 is about 233.4375661294.

It can be divided in two parts, 12720 and 736, that added together give a square (13456 = 1162).

The spelling of 12720736 in words is "twelve million, seven hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 521 763 872 1042 1526 1744 2084 3052 3488 3647 4168 6104 7294 8336 12208 14588 16672 24416 29176 56789 58352 113578 116704 227156 397523 454312 795046 908624 1590092 1817248 3180184 6360368 12720736