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13024500 = 2235319457
BaseRepresentation
bin110001101011…
…110011110100
3220111201020220
4301223303310
511313241000
61143054340
7215464206
oct61536364
926451226
1013024500
117396555
1244413b0
132910408
141a30776
1512241a0
hexc6bcf4

13024500 has 96 divisors (see below), whose sum is σ = 40010880. Its totient is φ = 3283200.

The previous prime is 13024483. The next prime is 13024507. The reversal of 13024500 is 542031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13024500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28272 + ... + 28728.

It is an arithmetic number, because the mean of its divisors is an integer number (416780).

Almost surely, 213024500 is an apocalyptic number.

13024500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13024500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20005440).

13024500 is an abundant number, since it is smaller than the sum of its proper divisors (26986380).

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

13024500 is a wasteful number, since it uses less digits than its factorization.

13024500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13024500 is about 3608.9472149091. The cubic root of 13024500 is about 235.2810881265.

Adding to 13024500 its reverse (542031), we get a palindrome (13566531).

The spelling of 13024500 in words is "thirteen million, twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 457 475 500 570 750 914 950 1140 1371 1425 1500 1828 1900 2285 2375 2742 2850 4570 4750 5484 5700 6855 7125 8683 9140 9500 11425 13710 14250 17366 22850 26049 27420 28500 34275 34732 43415 45700 52098 57125 68550 86830 104196 114250 130245 137100 171375 173660 217075 228500 260490 342750 434150 520980 651225 685500 868300 1085375 1302450 2170750 2604900 3256125 4341500 6512250 13024500