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13065500 = 225373733
BaseRepresentation
bin110001110101…
…110100011100
3220120210111102
4301311310130
511321044000
61144012232
7216024560
oct61656434
926523442
1013065500
117414338
124461078
132925c86
141a416a0
1512313d5
hexc75d1c

13065500 has 48 divisors (see below), whose sum is σ = 32620224. Its totient is φ = 4478400.

The previous prime is 13065497. The next prime is 13065517. The reversal of 13065500 is 556031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634 + ... + 5366.

It is an arithmetic number, because the mean of its divisors is an integer number (679588).

Almost surely, 213065500 is an apocalyptic number.

13065500 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 13065500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310112).

13065500 is an abundant number, since it is smaller than the sum of its proper divisors (19554724).

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

13065500 is a wasteful number, since it uses less digits than its factorization.

13065500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 13065500 is about 3614.6230785519. The cubic root of 13065500 is about 235.5277110330.

The spelling of 13065500 in words is "thirteen million, sixty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3500 3733 7466 14932 18665 26131 37330 52262 74660 93325 104524 130655 186650 261310 373300 466625 522620 653275 933250 1306550 1866500 2613100 3266375 6532750 13065500