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12727988 = 2271373479
BaseRepresentation
bin110000100011…
…011010110100
3212221122111222
4300203122310
511224243423
61132445512
7213120560
oct60433264
925848458
1012727988
1172037a9
124319898
132838470
1419946a0
1511b63c8
hexc236b4

12727988 has 48 divisors (see below), whose sum is σ = 27847680. Its totient is φ = 4955904.

The previous prime is 12727987. The next prime is 12727991. The reversal of 12727988 is 88972721.

Its product of digits (112896) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12727987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26333 + ... + 26811.

It is an arithmetic number, because the mean of its divisors is an integer number (580160).

Almost surely, 212727988 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 12727988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923840).

12727988 is an abundant number, since it is smaller than the sum of its proper divisors (15119692).

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

12727988 is a wasteful number, since it uses less digits than its factorization.

12727988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

The square root of 12727988 is about 3567.6305862575. The cubic root of 12727988 is about 233.4819180608.

The spelling of 12727988 in words is "twelve million, seven hundred twenty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 479 511 949 958 1022 1898 1916 2044 3353 3796 6227 6643 6706 12454 13286 13412 24908 26572 34967 43589 69934 87178 139868 174356 244769 454571 489538 909142 979076 1818284 3181997 6363994 12727988