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13053300 = 22352133347
BaseRepresentation
bin110001110010…
…110101110100
3220120011202120
4301302311310
511320201200
61143435540
7215644161
oct61626564
926504676
1013053300
117406157
124455bb0
132920560
141a3b068
15122c9a0
hexc72d74

13053300 has 72 divisors (see below), whose sum is σ = 40684896. Its totient is φ = 3212160.

The previous prime is 13053289. The next prime is 13053307. The reversal of 13053300 is 335031.

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 13053300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13053307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2227 + ... + 5573.

It is an arithmetic number, because the mean of its divisors is an integer number (565068).

Almost surely, 213053300 is an apocalyptic number.

13053300 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 13053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342448).

13053300 is an abundant number, since it is smaller than the sum of its proper divisors (27631596).

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

13053300 is a wasteful number, since it uses less digits than its factorization.

13053300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 13053300 is about 3612.9350949055. The cubic root of 13053300 is about 235.4543796666.

Adding to 13053300 its reverse (335031), we get a palindrome (13388331).

The spelling of 13053300 in words is "thirteen million, fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3347 3900 6694 10041 13388 16735 20082 33470 40164 43511 50205 66940 83675 87022 100410 130533 167350 174044 200820 217555 251025 261066 334700 435110 502050 522132 652665 870220 1004100 1087775 1305330 2175550 2610660 3263325 4351100 6526650 13053300