Search a number
-
+
12296928 = 253729631
BaseRepresentation
bin101110111010…
…001011100000
3212010202012210
4232322023200
511122000203
61115322120
7206344050
oct56721340
925122183
1012296928
116a39956
124150340
1327171b7
1418c1560
15112d803
hexbba2e0

12296928 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 3386880.

The previous prime is 12296909. The next prime is 12296941. The reversal of 12296928 is 82969221.

12296928 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

12296928 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19173 + ... + 19803.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 212296928 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 12296928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

12296928 is an abundant number, since it is smaller than the sum of its proper divisors (25926432).

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

12296928 is a wasteful number, since it uses less digits than its factorization.

12296928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 12296928 is about 3506.6975917521. The cubic root of 12296928 is about 230.8158048903.

The spelling of 12296928 in words is "twelve million, two hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 631 672 696 812 928 1218 1262 1392 1624 1893 2436 2524 2784 3248 3786 4417 4872 5048 6496 7572 8834 9744 10096 13251 15144 17668 18299 19488 20192 26502 30288 35336 36598 53004 54897 60576 70672 73196 106008 109794 128093 141344 146392 212016 219588 256186 292784 384279 424032 439176 512372 585568 768558 878352 1024744 1537116 1756704 2049488 3074232 4098976 6148464 12296928