Search a number
-
+
12897984 = 2631131197
BaseRepresentation
bin110001001100…
…111011000000
3220021021201010
4301030323000
511300213414
61140240520
7214426311
oct61147300
926237633
1012897984
11730a4a0
1243a0140
132897958
1419da608
1511eb959
hexc4cec0

12897984 has 112 divisors (see below), whose sum is σ = 38624256. Its totient is φ = 3763200.

The previous prime is 12897971. The next prime is 12898007. The reversal of 12897984 is 48979821.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 65374 + ... + 65570.

Almost surely, 212897984 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 12897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312128).

12897984 is an abundant number, since it is smaller than the sum of its proper divisors (25726272).

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

12897984 is a wasteful number, since it uses less digits than its factorization.

12897984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 12897984 is about 3591.3763378404. The cubic root of 12897984 is about 234.5167919260.

The spelling of 12897984 in words is "twelve million, eight hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 197 248 264 341 352 372 394 496 528 591 682 704 744 788 992 1023 1056 1182 1364 1488 1576 1984 2046 2112 2167 2364 2728 2976 3152 4092 4334 4728 5456 5952 6107 6304 6501 8184 8668 9456 10912 12214 12608 13002 16368 17336 18321 18912 21824 24428 26004 32736 34672 36642 37824 48856 52008 65472 67177 69344 73284 97712 104016 134354 138688 146568 195424 201531 208032 268708 293136 390848 403062 416064 537416 586272 806124 1074832 1172544 1612248 2149664 3224496 4299328 6448992 12897984