Search a number
-
+
520233728 = 2871717077
BaseRepresentation
bin11111000000100…
…010001100000000
31100020220121111212
4133000202030000
52031134434403
6123342225252
715614625260
oct3700421400
91306817455
10520233728
11247727333
12126285228
1383a1aa11
144d1417a0
1530a134d8
hex1f022300

520233728 has 72 divisors (see below), whose sum is σ = 1256667552. Its totient is φ = 209829888.

The previous prime is 520233691. The next prime is 520233731. The reversal of 520233728 is 827332025.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 520233694 and 520233703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21926 + ... + 39002.

It is an arithmetic number, because the mean of its divisors is an integer number (17453716).

Almost surely, 2520233728 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 520233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628333776).

520233728 is an abundant number, since it is smaller than the sum of its proper divisors (736433824).

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

520233728 is a wasteful number, since it uses less digits than its factorization.

520233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17117 (or 17103 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 520233728 is about 22808.6327516579. The cubic root of 520233728 is about 804.2656152339.

The spelling of 520233728 in words is "five hundred twenty million, two hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 17077 30464 34154 68308 119539 136616 239078 273232 290309 478156 546464 580618 956312 1092928 1161236 1912624 2032163 2185856 2322472 3825248 4064326 4371712 4644944 7650496 8128652 9289888 15300992 16257304 18579776 30601984 32514608 37159552 65029216 74319104 130058432 260116864 520233728