Search a number
-
+
1462114056 = 2331383131431
BaseRepresentation
bin101011100100110…
…0001011100001000
310202220020002102110
41113021201130020
510443300122211
6401030102320
751142523124
oct12711413410
93686202373
101462114056
11690363a27
123497aa9a0
131a3bb8a60
14dc280584
1588563ea6
hex57261708

1462114056 has 128 divisors (see below), whose sum is σ = 4023613440. Its totient is φ = 440044800.

The previous prime is 1462114051. The next prime is 1462114091. The reversal of 1462114056 is 6504112641.

It is a super-2 number, since 2×14621140562 = 4275555025505542272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1462114051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3392161 + ... + 3392591.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 21462114056 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 1462114056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

1462114056 is an abundant number, since it is smaller than the sum of its proper divisors (2561499384).

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

1462114056 is a wasteful number, since it uses less digits than its factorization.

1462114056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1462114056 is about 38237.6000292905. The cubic root of 1462114056 is about 1134.9944835973.

Adding to 1462114056 its reverse (6504112641), we get a palindrome (7966226697).

The spelling of 1462114056 in words is "one billion, four hundred sixty-two million, one hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 131 156 166 249 262 312 332 393 431 498 524 664 786 862 996 1048 1079 1293 1572 1703 1724 1992 2158 2586 3144 3237 3406 3448 4316 5109 5172 5603 6474 6812 8632 10218 10344 10873 11206 12948 13624 16809 20436 21746 22412 25896 32619 33618 35773 40872 43492 44824 56461 65238 67236 71546 86984 107319 112922 130476 134472 141349 143092 169383 214638 225844 260952 282698 286184 338766 424047 429276 451688 465049 565396 677532 733993 848094 858552 930098 1130792 1355064 1395147 1467986 1696188 1860196 2201979 2790294 2935972 3392376 3720392 4403958 4686263 5580588 5871944 8807916 9372526 11161176 14058789 17615832 18745052 28117578 37490104 56235156 60921419 112470312 121842838 182764257 243685676 365528514 487371352 731057028 1462114056