Search a number
-
+
520161012 = 2232712716253
BaseRepresentation
bin11111000000010…
…000011011110100
31100020202220202200
4133000100123310
52031130123022
6123340504500
715614203260
oct3700203364
91306686680
10520161012
11247687738
1212624b130
13839c38a7
144d1230a0
15309ebbac
hex1f0106f4

520161012 has 72 divisors (see below), whose sum is σ = 1514612736. Its totient is φ = 147438144.

The previous prime is 520161001. The next prime is 520161013. The reversal of 520161012 is 210161025.

520161012 is a `hidden beast` number, since 52 + 0 + 1 + 610 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520161013) 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, 23878 + ... + 40130.

It is an arithmetic number, because the mean of its divisors is an integer number (21036288).

Almost surely, 2520161012 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 520161012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757306368).

520161012 is an abundant number, since it is smaller than the sum of its proper divisors (994451724).

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

520161012 is a wasteful number, since it uses less digits than its factorization.

520161012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16397 (or 16392 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 520161012 is about 22807.0386503816. The cubic root of 520161012 is about 804.2281412420.

The spelling of 520161012 in words is "five hundred twenty million, one hundred sixty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 16002 16253 32004 32506 48759 65012 97518 113771 146277 195036 227542 292554 341313 455084 585108 682626 1023939 1365252 2047878 2064131 4095756 4128262 6192393 8256524 12384786 14448917 18577179 24769572 28897834 37154358 43346751 57795668 74308716 86693502 130040253 173387004 260080506 520161012