Search a number
-
+
12926592 = 273272229
BaseRepresentation
bin110001010011…
…111010000000
3220022201221200
4301103322000
511302122332
61141021200
7214605600
oct61237200
926281850
1012926592
117329a38
1243b4800
1328a7993
141a06c00
15120517c
hexc53e80

12926592 has 144 divisors (see below), whose sum is σ = 43459650. Its totient is φ = 3677184.

The previous prime is 12926567. The next prime is 12926609. The reversal of 12926592 is 29562921.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8156736 + 4769856 = 2856^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56334 + ... + 56562.

Almost surely, 212926592 is an apocalyptic number.

12926592 is a gapful number since it is divisible by the number (12) 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 12926592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21729825).

12926592 is an abundant number, since it is smaller than the sum of its proper divisors (30533058).

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

12926592 is a wasteful number, since it uses less digits than its factorization.

12926592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 12926592 is about 3595.3570059175. The cubic root of 12926592 is about 234.6900516181.

The spelling of 12926592 in words is "twelve million, nine hundred twenty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 229 252 288 294 336 384 392 441 448 458 504 576 588 672 687 784 882 896 916 1008 1152 1176 1344 1374 1568 1603 1764 1832 2016 2061 2352 2688 2748 3136 3206 3528 3664 4032 4122 4704 4809 5496 6272 6412 7056 7328 8064 8244 9408 9618 10992 11221 12824 14112 14427 14656 16488 18816 19236 21984 22442 25648 28224 28854 29312 32976 33663 38472 43968 44884 51296 56448 57708 65952 67326 76944 87936 89768 100989 102592 115416 131904 134652 153888 179536 201978 205184 230832 263808 269304 307776 359072 403956 461664 538608 615552 718144 807912 923328 1077216 1436288 1615824 1846656 2154432 3231648 4308864 6463296 12926592