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12744990 = 23252347131
BaseRepresentation
bin110000100111…
…100100011110
3212222111211200
4300213210132
511230314430
61133100330
7213221256
oct60474436
925874750
1012744990
117215555
1243276a6
13284311b
14199a966
1511bb460
hexc2791e

12744990 has 96 divisors (see below), whose sum is σ = 35582976. Its totient is φ = 3157440.

The previous prime is 12744961. The next prime is 12745009. The reversal of 12744990 is 9944721.

12744990 is a `hidden beast` number, since 127 + 449 + 90 = 666.

12744990 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97225 + ... + 97355.

It is an arithmetic number, because the mean of its divisors is an integer number (370656).

Almost surely, 212744990 is an apocalyptic number.

12744990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12744990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17791488).

12744990 is an abundant number, since it is smaller than the sum of its proper divisors (22837986).

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

12744990 is a wasteful number, since it uses less digits than its factorization.

12744990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12744990 is about 3570.0126050198. The cubic root of 12744990 is about 233.5858332365.

The spelling of 12744990 in words is "twelve million, seven hundred forty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 47 69 90 94 115 131 138 141 207 230 235 262 282 345 393 414 423 470 655 690 705 786 846 1035 1081 1179 1310 1410 1965 2070 2115 2162 2358 3013 3243 3930 4230 5405 5895 6026 6157 6486 9039 9729 10810 11790 12314 15065 16215 18078 18471 19458 27117 30130 30785 32430 36942 45195 48645 54234 55413 61570 90390 92355 97290 110826 135585 141611 184710 271170 277065 283222 424833 554130 708055 849666 1274499 1416110 2124165 2548998 4248330 6372495 12744990