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520135344 = 24343710847
BaseRepresentation
bin11111000000001…
…010001010110000
31100020201121120000
4133000022022300
52031123312334
6123340150000
715614035401
oct3700121260
91306647500
10520135344
1124766a423
12126238300
13839b4cc1
144d1179a8
15309e4299
hex1f00a2b0

520135344 has 100 divisors (see below), whose sum is σ = 1546252224. Its totient is φ = 168676992.

The previous prime is 520135339. The next prime is 520135367. The reversal of 520135344 is 443531025.

520135344 is a `hidden beast` number, since 520 + 135 + 3 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42529 + ... + 53375.

Almost surely, 2520135344 is an apocalyptic number.

520135344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773126112).

520135344 is an abundant number, since it is smaller than the sum of its proper divisors (1026116880).

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

520135344 is a wasteful number, since it uses less digits than its factorization.

520135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10889 counting only the distinct ones).

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

The square root of 520135344 is about 22806.4759224217. The cubic root of 520135344 is about 804.2149124744.

Adding to 520135344 its reverse (443531025), we get a palindrome (963666369).

The spelling of 520135344 in words is "five hundred twenty million, one hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 10847 11988 15984 21694 23976 32541 43388 47952 65082 86776 97623 130164 173552 195246 260328 292869 390492 401339 520656 585738 780984 802678 878607 1171476 1204017 1561968 1605356 1757214 2342952 2408034 3210712 3514428 3612051 4685904 4816068 6421424 7028856 7224102 9632136 10836153 14057712 14448204 19264272 21672306 28896408 32508459 43344612 57792816 65016918 86689224 130033836 173378448 260067672 520135344