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13060000 = 2554653
BaseRepresentation
bin110001110100…
…011110100000
3220120111221201
4301310132200
511320410000
61143530544
7216002542
oct61643640
926514851
1013060000
117410198
124459a54
132923615
141a3d692
15122e96a
hexc747a0

13060000 has 60 divisors (see below), whose sum is σ = 32178762. Its totient is φ = 5216000.

The previous prime is 13059989. The next prime is 13060009. The reversal of 13060000 is 6031.

It can be written as a sum of positive squares in 5 ways, for example, as 13456 + 13046544 = 116^2 + 3612^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13060009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19674 + ... + 20326.

Almost surely, 213060000 is an apocalyptic number.

13060000 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 13060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089381).

13060000 is an abundant number, since it is smaller than the sum of its proper divisors (19118762).

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

13060000 is an frugal number, since it uses more digits than its factorization.

13060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13060000 is about 3613.8621999185. The cubic root of 13060000 is about 235.4946574639.

Adding to 13060000 its reverse (6031), we get a palindrome (13066031).

The spelling of 13060000 in words is "thirteen million, sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 653 800 1000 1250 1306 2000 2500 2612 3265 4000 5000 5224 6530 10000 10448 13060 16325 20000 20896 26120 32650 52240 65300 81625 104480 130600 163250 261200 326500 408125 522400 653000 816250 1306000 1632500 2612000 3265000 6530000 13060000