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15130000 = 24541789
BaseRepresentation
bin111001101101…
…110110010000
31001110200110101
4321231312100
512333130000
61300142144
7242413534
oct71556620
931420411
1015130000
1185a4436
125097954
133199882
14201bbc4
1514dce6a
hexe6dd90

15130000 has 100 divisors (see below), whose sum is σ = 39221820. Its totient is φ = 5632000.

The previous prime is 15129997. The next prime is 15130009. The reversal of 15130000 is 3151.

It can be written as a sum of positive squares in 10 ways, for example, as 11861136 + 3268864 = 3444^2 + 1808^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15130009) 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 19 ways as a sum of consecutive naturals, for example, 169956 + ... + 170044.

Almost surely, 215130000 is an apocalyptic number.

15130000 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 15130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19610910).

15130000 is an abundant number, since it is smaller than the sum of its proper divisors (24091820).

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

15130000 is an equidigital number, since it uses as much as digits as its factorization.

15130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 15130000 is about 3889.7300677553. The cubic root of 15130000 is about 247.3316203306.

Adding to 15130000 its reverse (3151), we get a palindrome (15133151).

The spelling of 15130000 in words is "fifteen million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 89 100 125 136 170 178 200 250 272 340 356 400 425 445 500 625 680 712 850 890 1000 1250 1360 1424 1513 1700 1780 2000 2125 2225 2500 3026 3400 3560 4250 4450 5000 6052 6800 7120 7565 8500 8900 10000 10625 11125 12104 15130 17000 17800 21250 22250 24208 30260 34000 35600 37825 42500 44500 55625 60520 75650 85000 89000 111250 121040 151300 170000 178000 189125 222500 302600 378250 445000 605200 756500 890000 945625 1513000 1891250 3026000 3782500 7565000 15130000