Search a number
-
+
520370984 = 23725692333
BaseRepresentation
bin11111000001000…
…011101100101000
31100021011120210102
4133001003230220
52031203332414
6123345204532
715616036400
oct3701035450
91307146712
10520370984
11247810471
12126330748
1383a68333
144d179800
1530a3dede
hex1f043b28

520370984 has 48 divisors (see below), whose sum is σ = 1137474900. Its totient is φ = 222528768.

The previous prime is 520370971. The next prime is 520370987. The reversal of 520370984 is 489073025.

It can be written as a sum of positive squares in 2 ways, for example, as 484968484 + 35402500 = 22022^2 + 5950^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520370987) 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 11 ways as a sum of consecutive naturals, for example, 221882 + ... + 224214.

Almost surely, 2520370984 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 520370984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568737450).

520370984 is an abundant number, since it is smaller than the sum of its proper divisors (617103916).

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

520370984 is a wasteful number, since it uses less digits than its factorization.

520370984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 520370984 is about 22811.6414139798. The cubic root of 520370984 is about 804.3363402232.

The spelling of 520370984 in words is "five hundred twenty million, three hundred seventy thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 569 1138 2276 2333 3983 4552 4666 7966 9332 15932 16331 18664 27881 31864 32662 55762 65324 111524 114317 130648 223048 228634 457268 914536 1327477 2654954 5309908 9292339 10619816 18584678 37169356 65046373 74338712 130092746 260185492 520370984