Search a number
-
+
12979824 = 24311133161
BaseRepresentation
bin110001100000…
…111001110000
3220102102222020
4301200321300
511310323244
61142111440
7215220024
oct61407160
926372866
1012979824
117365a30
12441b580
1328c5c90
141a1c384
151215d19
hexc60e70

12979824 has 160 divisors (see below), whose sum is σ = 41330688. Its totient is φ = 3456000.

The previous prime is 12979819. The next prime is 12979847. The reversal of 12979824 is 42897921.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212754 + ... + 212814.

Almost surely, 212979824 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 12979824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665344).

12979824 is an abundant number, since it is smaller than the sum of its proper divisors (28350864).

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

12979824 is a wasteful number, since it uses less digits than its factorization.

12979824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 12979824 is about 3602.7522812428. The cubic root of 12979824 is about 235.0117634069.

The spelling of 12979824 in words is "twelve million, nine hundred seventy-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 61 62 66 78 88 93 104 122 124 132 143 156 176 183 186 208 244 248 264 286 312 341 366 372 403 429 488 496 528 572 624 671 682 732 744 793 806 858 976 1023 1144 1209 1342 1364 1464 1488 1586 1612 1716 1891 2013 2046 2288 2379 2418 2684 2728 2928 3172 3224 3432 3782 4026 4092 4433 4758 4836 5368 5456 5673 6344 6448 6864 7564 8052 8184 8723 8866 9516 9672 10736 11346 12688 13299 15128 16104 16368 17446 17732 19032 19344 20801 22692 24583 26169 26598 30256 32208 34892 35464 38064 41602 45384 49166 52338 53196 62403 69784 70928 73749 83204 90768 98332 104676 106392 124806 139568 147498 166408 196664 209352 212784 249612 270413 294996 332816 393328 418704 499224 540826 589992 811239 998448 1081652 1179984 1622478 2163304 3244956 4326608 6489912 12979824