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5303520 = 2532529127
BaseRepresentation
bin10100001110110011100000
3100222110001200
4110032303200
52324203040
6305401200
763036105
oct24166340
910873050
105303520
112aa2682
121939200
131138ca1
149c0aac
156eb630
hex50ece0

5303520 has 144 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1354752.

The previous prime is 5303513. The next prime is 5303537. The reversal of 5303520 is 253035.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 5303493 and 5303502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41697 + ... + 41823.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 25303520 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 5303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5303520 is an abundant number, since it is smaller than the sum of its proper divisors (13566240).

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

5303520 is a wasteful number, since it uses less digits than its factorization.

5303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5303520 is about 2302.9372548986. The cubic root of 5303520 is about 174.3899301203.

Adding to 5303520 its reverse (253035), we get a palindrome (5556555).

The spelling of 5303520 in words is "five million, three hundred three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 127 144 145 160 174 180 232 240 254 261 288 290 348 360 381 435 464 480 508 522 580 635 696 720 762 870 928 1016 1044 1143 1160 1270 1305 1392 1440 1524 1740 1905 2032 2088 2286 2320 2540 2610 2784 3048 3480 3683 3810 4064 4176 4572 4640 5080 5220 5715 6096 6960 7366 7620 8352 9144 10160 10440 11049 11430 12192 13920 14732 15240 18288 18415 20320 20880 22098 22860 29464 30480 33147 36576 36830 41760 44196 45720 55245 58928 60960 66294 73660 88392 91440 110490 117856 132588 147320 165735 176784 182880 220980 265176 294640 331470 353568 441960 530352 589280 662940 883920 1060704 1325880 1767840 2651760 5303520