Search a number
-
+
15030720 = 2632517307
BaseRepresentation
bin111001010101…
…100111000000
31001021122021100
4321111213000
512321440340
61254054400
7241521225
oct71254700
931248240
1015030720
118536891
12504a400
133163623
141dd394c
1514bd830
hexe559c0

15030720 has 168 divisors, whose sum is σ = 54918864. Its totient is φ = 3760128.

The previous prime is 15030689. The next prime is 15030721. The reversal of 15030720 is 2703051.

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

It is a junction number, because it is equal to n+sod(n) for n = 15030693 and 15030702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15030721) 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 23 ways as a sum of consecutive naturals, for example, 48807 + ... + 49113.

It is an arithmetic number, because the mean of its divisors is an integer number (326898).

Almost surely, 215030720 is an apocalyptic number.

15030720 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 15030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27459432).

15030720 is an abundant number, since it is smaller than the sum of its proper divisors (39888144).

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

15030720 is a wasteful number, since it uses less digits than its factorization.

15030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 15030720 is about 3876.9472526719. The cubic root of 15030720 is about 246.7894527074.

Adding to 15030720 its reverse (2703051), we get a palindrome (17733771).

The spelling of 15030720 in words is "fifteen million, thirty thousand, seven hundred twenty".