Search a number
-
+
513340254 = 23474161181
BaseRepresentation
bin11110100110001…
…111001101011110
31022202221101110000
4132212033031132
52022403342004
6122534355130
715502214550
oct3646171536
91282841400
10513340254
11243849149
12123abbaa6
138247613b
144c2694d0
1530100c39
hex1e98f35e

513340254 has 160 divisors (see below), whose sum is σ = 1376286912. Its totient is φ = 139968000.

The previous prime is 513340207. The next prime is 513340259. The reversal of 513340254 is 452043315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513340259) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2836044 + ... + 2836224.

Almost surely, 2513340254 is an apocalyptic number.

513340254 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513340254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688143456).

513340254 is an abundant number, since it is smaller than the sum of its proper divisors (862946658).

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

513340254 is a wasteful number, since it uses less digits than its factorization.

513340254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 513340254 is about 22657.0133512782. The cubic root of 513340254 is about 800.6974407521.

Adding to 513340254 its reverse (452043315), we get a palindrome (965383569).

The spelling of 513340254 in words is "five hundred thirteen million, three hundred forty thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 61 63 81 82 122 123 126 162 181 183 189 246 287 362 366 369 378 427 543 549 567 574 738 854 861 1086 1098 1107 1134 1267 1281 1629 1647 1722 2214 2501 2534 2562 2583 3258 3294 3321 3801 3843 4887 4941 5002 5166 6642 7421 7503 7602 7686 7749 9774 9882 11041 11403 11529 14661 14842 15006 15498 17507 22082 22263 22509 22806 23058 23247 29322 33123 34209 34587 35014 44526 45018 46494 51947 52521 66246 66789 67527 68418 69174 77287 99369 102627 103894 105042 133578 135054 154574 155841 157563 198738 200367 202581 205254 231861 298107 311682 315126 400734 405162 452681 463722 467523 472689 596214 601101 695583 894321 905362 935046 945378 1202202 1358043 1391166 1402569 1418067 1788642 2086749 2716086 2805138 2836134 3168767 4074129 4173498 4207707 6260247 6337534 8148258 8415414 9506301 12222387 12520494 19012602 24444774 28518903 36667161 57037806 73334322 85556709 171113418 256670127 513340254