Search a number
-
+
12389328 = 2433717241
BaseRepresentation
bin101111010000…
…101111010000
3212022102222000
4233100233100
511132424303
61121314000
7210210330
oct57205720
925272860
1012389328
116aa2316
124195900
13274a283
1419070c0
15114ada3
hexbd0bd0

12389328 has 160 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 3317760.

The previous prime is 12389323. The next prime is 12389329. The reversal of 12389328 is 82398321.

It is a happy number.

12389328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12389292 and 12389301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12389323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51288 + ... + 51528.

It is an arithmetic number, because the mean of its divisors is an integer number (270072).

Almost surely, 212389328 is an apocalyptic number.

12389328 is a gapful number since it is divisible by the number (18) 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 12389328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

12389328 is an abundant number, since it is smaller than the sum of its proper divisors (30822192).

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

12389328 is a wasteful number, since it uses less digits than its factorization.

12389328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12389328 is about 3519.8477239790. The cubic root of 12389328 is about 231.3924850651.

The spelling of 12389328 in words is "twelve million, three hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 241 252 272 306 336 357 378 408 432 459 476 482 504 612 714 723 756 816 918 952 964 1008 1071 1224 1428 1446 1512 1687 1836 1904 1928 2142 2169 2448 2856 2892 3024 3213 3374 3672 3856 4097 4284 4338 5061 5712 5784 6426 6507 6748 7344 8194 8568 8676 10122 11568 12291 12852 13014 13496 15183 16388 17136 17352 20244 24582 25704 26028 26992 28679 30366 32776 34704 36873 40488 45549 49164 51408 52056 57358 60732 65552 73746 80976 86037 91098 98328 104112 110619 114716 121464 147492 172074 182196 196656 221238 229432 242928 258111 294984 344148 364392 442476 458864 516222 589968 688296 728784 774333 884952 1032444 1376592 1548666 1769904 2064888 3097332 4129776 6194664 12389328