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538020 = 223257261
BaseRepresentation
bin10000011010110100100
31000100000200
42003112210
5114204040
615310500
74400400
oct2032644
91010020
10538020
1133824a
1221b430
1315ab72
14100100
15a9630
hex835a4

538020 has 108 divisors (see below), whose sum is σ = 1929564. Its totient is φ = 120960.

The previous prime is 538019. The next prime is 538049. The reversal of 538020 is 20835.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 451584 = 294^2 + 672^2 .

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 537984 and 538002.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8790 + ... + 8850.

2538020 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 538020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964782).

538020 is an abundant number, since it is smaller than the sum of its proper divisors (1391544).

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

538020 is a wasteful number, since it uses less digits than its factorization.

538020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

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

The square root of 538020 is about 733.4984662561. The cubic root of 538020 is about 81.3328779574.

538020 divided by its sum of digits (18) gives a triangular number (29890 = T244).

Adding to 538020 its reverse (20835), we get a palindrome (558855).

It can be divided in two parts, 5 and 38020, that added together give a square (38025 = 1952).

The spelling of 538020 in words is "five hundred thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 61 63 70 84 90 98 105 122 126 140 147 180 183 196 210 244 245 252 294 305 315 366 420 427 441 490 549 588 610 630 732 735 854 882 915 980 1098 1220 1260 1281 1470 1708 1764 1830 2135 2196 2205 2562 2745 2940 2989 3660 3843 4270 4410 5124 5490 5978 6405 7686 8540 8820 8967 10980 11956 12810 14945 15372 17934 19215 25620 26901 29890 35868 38430 44835 53802 59780 76860 89670 107604 134505 179340 269010 538020