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520380 = 223257259
BaseRepresentation
bin1111111000010111100
3222102211100
41333002330
5113123010
615053100
74265100
oct1770274
9872740
10520380
11325a73
12211190
13152b23
14d7900
15a42c0
hex7f0bc

520380 has 108 divisors (see below), whose sum is σ = 1867320. Its totient is φ = 116928.

The previous prime is 520379. The next prime is 520381. The reversal of 520380 is 83025.

It is an interprime number because it is at equal distance from previous prime (520379) and next prime (520381).

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 (520381) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8791 + ... + 8849.

It is an arithmetic number, because the mean of its divisors is an integer number (17290).

2520380 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 520380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933660).

520380 is an abundant number, since it is smaller than the sum of its proper divisors (1346940).

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

520380 is a wasteful number, since it uses less digits than its factorization.

520380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 520380 is about 721.3736895673. The cubic root of 520380 is about 80.4340985534.

It can be divided in two parts, 520 and 380, that added together give a square (900 = 302).

The spelling of 520380 in words is "five hundred twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 59 60 63 70 84 90 98 105 118 126 140 147 177 180 196 210 236 245 252 294 295 315 354 413 420 441 490 531 588 590 630 708 735 826 882 885 980 1062 1180 1239 1260 1470 1652 1764 1770 2065 2124 2205 2478 2655 2891 2940 3540 3717 4130 4410 4956 5310 5782 6195 7434 8260 8673 8820 10620 11564 12390 14455 14868 17346 18585 24780 26019 28910 34692 37170 43365 52038 57820 74340 86730 104076 130095 173460 260190 520380