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520142112 = 25327594373
BaseRepresentation
bin11111000000001…
…011110100100000
31100020201221211200
4133000023310200
52031124021422
6123340241200
715614064210
oct3700136440
91306657750
10520142112
11247674516
12126240200
13839b80c9
144d11a240
15309e62ac
hex1f00bd20

520142112 has 144 divisors (see below), whose sum is σ = 1719506880. Its totient is φ = 146059776.

The previous prime is 520142101. The next prime is 520142123. The reversal of 520142112 is 211241025.

520142112 is a `hidden beast` number, since 520 + 142 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (520142101) and next prime (520142123).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116758 + ... + 121130.

It is an arithmetic number, because the mean of its divisors is an integer number (11941020).

Almost surely, 2520142112 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 520142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859753440).

520142112 is an abundant number, since it is smaller than the sum of its proper divisors (1199364768).

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

520142112 is a wasteful number, since it uses less digits than its factorization.

520142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 520142112 is about 22806.6243008473. The cubic root of 520142112 is about 804.2184006068.

Adding to 520142112 its reverse (211241025), we get a palindrome (731383137).

The spelling of 520142112 in words is "five hundred twenty million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 59 63 72 84 96 112 118 126 144 168 177 224 236 252 288 336 354 413 472 504 531 672 708 826 944 1008 1062 1239 1416 1652 1888 2016 2124 2478 2832 3304 3717 4248 4373 4956 5664 6608 7434 8496 8746 9912 13119 13216 14868 16992 17492 19824 26238 29736 30611 34984 39357 39648 52476 59472 61222 69968 78714 91833 104952 118944 122444 139936 157428 183666 209904 244888 258007 275499 314856 367332 419808 489776 516014 550998 629712 734664 774021 979552 1032028 1101996 1259424 1469328 1548042 1806049 2064056 2203992 2322063 2938656 3096084 3612098 4128112 4407984 4644126 5418147 6192168 7224196 8256224 8815968 9288252 10836294 12384336 14448392 16254441 18576504 21672588 24768672 28896784 32508882 37153008 43345176 57793568 65017764 74306016 86690352 130035528 173380704 260071056 520142112