Search a number
-
+
13207300 = 2252172457
BaseRepresentation
bin110010011000…
…011100000100
3220212000000021
4302120130010
511340113200
61151024524
7220155151
oct62303404
926760007
1013207300
117500927
12450b144
132975692
141a7b228
15125d41a
hexc98704

13207300 has 54 divisors (see below), whose sum is σ = 30511502. Its totient is φ = 4961280.

The previous prime is 13207297. The next prime is 13207303. The reversal of 13207300 is 370231.

It is an interprime number because it is at equal distance from previous prime (13207297) and next prime (13207303).

It can be written as a sum of positive squares in 9 ways, for example, as 15876 + 13191424 = 126^2 + 3632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13207303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28672 + ... + 29128.

Almost surely, 213207300 is an apocalyptic number.

13207300 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 13207300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255751).

13207300 is an abundant number, since it is smaller than the sum of its proper divisors (17304202).

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

13207300 is a wasteful number, since it uses less digits than its factorization.

13207300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 13207300 is about 3634.1849154934. The cubic root of 13207300 is about 236.3767085293.

Adding to 13207300 its reverse (370231), we get a palindrome (13577531).

The spelling of 13207300 in words is "thirteen million, two hundred seven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 457 578 850 914 1156 1445 1700 1828 2285 2890 4570 5780 7225 7769 9140 11425 14450 15538 22850 28900 31076 38845 45700 77690 132073 155380 194225 264146 388450 528292 660365 776900 1320730 2641460 3301825 6603650 13207300