Search a number
-
+
15130314 = 234591583
BaseRepresentation
bin111001101101…
…111011001010
31001110200220000
4321231323022
512333132224
61300143430
7242414463
oct71557312
931420800
1015130314
1185a46a1
125097b76
133199a64
14201bd6a
1514dd0c9
hexe6deca

15130314 has 40 divisors (see below), whose sum is σ = 34499520. Its totient is φ = 4954824.

The previous prime is 15130307. The next prime is 15130331. The reversal of 15130314 is 41303151.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8767 + ... + 10349.

It is an arithmetic number, because the mean of its divisors is an integer number (862488).

Almost surely, 215130314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15130314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249760).

15130314 is an abundant number, since it is smaller than the sum of its proper divisors (19369206).

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

15130314 is a wasteful number, since it uses less digits than its factorization.

15130314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1647 counting only the distinct ones).

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

The square root of 15130314 is about 3889.7704302439. The cubic root of 15130314 is about 247.3333313152. Note that the first 5 decimals are identical.

Adding to 15130314 its reverse (41303151), we get a palindrome (56433465).

It can be divided in two parts, 1 and 5130314, that added together give a palindrome (5130315).

The spelling of 15130314 in words is "fifteen million, one hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1583 1593 3166 3186 4749 4779 9498 9558 14247 28494 42741 85482 93397 128223 186794 256446 280191 560382 840573 1681146 2521719 5043438 7565157 15130314