[go: up one dir, main page]

Search a number
-
+
520312032 = 2533592173
BaseRepresentation
bin11111000000110…
…101010011100000
31100021001120221000
4133000311103200
52031144441112
6123344032000
715615402462
oct3700652340
91307046830
10520312032
11247780149
12126302600
1383a47556
144d162132
1530a2b7dc
hex1f0354e0

520312032 has 144 divisors (see below), whose sum is σ = 1552657680. Its totient is φ = 169512192.

The previous prime is 520312031. The next prime is 520312061. The reversal of 520312032 is 230213025.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5203120322 = 541449221287938048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 520311996 and 520312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520312031) 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 23 ways as a sum of consecutive naturals, for example, 3007498 + ... + 3007670.

It is an arithmetic number, because the mean of its divisors is an integer number (10782345).

Almost surely, 2520312032 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 520312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776328840).

520312032 is an abundant number, since it is smaller than the sum of its proper divisors (1032345648).

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

520312032 is a wasteful number, since it uses less digits than its factorization.

520312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 520312032 is about 22810.3492301192. The cubic root of 520312032 is about 804.3059650818.

Adding to 520312032 its reverse (230213025), we get a palindrome (750525057).

The spelling of 520312032 in words is "five hundred twenty million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 173 177 216 236 288 346 354 432 472 519 531 692 708 864 944 1038 1062 1384 1416 1557 1593 1888 2076 2124 2768 2832 3114 3186 3481 4152 4248 4671 5536 5664 6228 6372 6962 8304 8496 9342 10207 10443 12456 12744 13924 16608 16992 18684 20414 20886 24912 25488 27848 30621 31329 37368 40828 41772 49824 50976 55696 61242 62658 74736 81656 83544 91863 93987 111392 122484 125316 149472 163312 167088 183726 187974 244968 250632 275589 326624 334176 367452 375948 489936 501264 551178 602213 734904 751896 979872 1002528 1102356 1204426 1469808 1503792 1806639 2204712 2408852 2939616 3007584 3613278 4409424 4817704 5419917 7226556 8818848 9635408 10839834 14453112 16259751 19270816 21679668 28906224 32519502 43359336 57812448 65039004 86718672 130078008 173437344 260156016 520312032