Search a number
-
+
530133136 = 241319532531
BaseRepresentation
bin11111100110010…
…011000010010000
31100221112112221121
4133212103002100
52041203230021
6124334332024
716065025441
oct3746230220
91327475847
10530133136
11252278965
1212965a014
1385aa5860
145059b2c8
153181b741
hex1f993090

530133136 has 80 divisors (see below), whose sum is σ = 1186799040. Its totient is φ = 227335680.

The previous prime is 530133119. The next prime is 530133167. The reversal of 530133136 is 631331035.

It is a super-2 number, since 2×5301331362 = 562082283770388992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 530133136.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 208191 + ... + 210721.

It is an arithmetic number, because the mean of its divisors is an integer number (14834988).

Almost surely, 2530133136 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 530133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593399520).

530133136 is an abundant number, since it is smaller than the sum of its proper divisors (656665904).

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

530133136 is a wasteful number, since it uses less digits than its factorization.

530133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

The square root of 530133136 is about 23024.6202140231. The cubic root of 530133136 is about 809.3349904265.

The spelling of 530133136 in words is "five hundred thirty million, one hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 53 76 104 106 152 208 212 247 304 424 494 689 848 988 1007 1378 1976 2014 2531 2756 3952 4028 5062 5512 8056 10124 11024 13091 16112 20248 26182 32903 40496 48089 52364 65806 96178 104728 131612 134143 192356 209456 263224 268286 384712 526448 536572 625157 769424 1073144 1250314 1743859 2146288 2500628 2548717 3487718 5001256 5097434 6975436 10002512 10194868 13950872 20389736 27901744 33133321 40779472 66266642 132533284 265066568 530133136