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12723640 = 235312331
BaseRepresentation
bin110000100010…
…010110111000
3212221102112221
4300202112320
511224124030
61132413424
7213102106
oct60422670
925842487
1012723640
117200506
124317274
1328364a7
141992c76
1511b4e7a
hexc225b8

12723640 has 48 divisors (see below), whose sum is σ = 29670840. Its totient is φ = 4910400.

The previous prime is 12723629. The next prime is 12723647. The reversal of 12723640 is 4632721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12723647) 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, 38275 + ... + 38605.

Almost surely, 212723640 is an apocalyptic number.

12723640 is a gapful number since it is divisible by the number (10) 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 12723640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835420).

12723640 is an abundant number, since it is smaller than the sum of its proper divisors (16947200).

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

12723640 is a wasteful number, since it uses less digits than its factorization.

12723640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 12723640 is about 3567.0211661833. The cubic root of 12723640 is about 233.4553284956.

The spelling of 12723640 in words is "twelve million, seven hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 331 620 662 961 1240 1324 1655 1922 2648 3310 3844 4805 6620 7688 9610 10261 13240 19220 20522 38440 41044 51305 82088 102610 205220 318091 410440 636182 1272364 1590455 2544728 3180910 6361820 12723640