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15314130 = 2335134363
BaseRepresentation
bin111010011010…
…110011010010
31001211001001000
4322122303102
512410023010
61304122430
7244111416
oct72326322
931731030
1015314130
11870a807
125166416
133232620
142068d46
1515277c0
hexe9acd2

15314130 has 64 divisors (see below), whose sum is σ = 43989120. Its totient is φ = 3768768.

The previous prime is 15314129. The next prime is 15314137. The reversal of 15314130 is 3141351.

15314130 is a `hidden beast` number, since 1 + 531 + 4 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15314137) 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 31 ways as a sum of consecutive naturals, for example, 1329 + ... + 5691.

It is an arithmetic number, because the mean of its divisors is an integer number (687330).

Almost surely, 215314130 is an apocalyptic number.

15314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21994560).

15314130 is an abundant number, since it is smaller than the sum of its proper divisors (28674990).

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

15314130 is a wasteful number, since it uses less digits than its factorization.

15314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 15314130 is about 3913.3272288425. The cubic root of 15314130 is about 248.3309079935.

Adding to 15314130 its reverse (3141351), we get a palindrome (18455481).

The spelling of 15314130 in words is "fifteen million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 4363 8726 13089 21815 26178 39267 43630 56719 65445 78534 113438 117801 130890 170157 196335 235602 283595 340314 392670 510471 567190 589005 850785 1020942 1178010 1531413 1701570 2552355 3062826 5104710 7657065 15314130