Search a number
-
+
15130864 = 247532549
BaseRepresentation
bin111001101110…
…000011110000
31001110201122101
4321232003300
512333141424
61300150144
7242416210
oct71560360
931421571
1015130864
1185a5051
125098354
13319a098
14201c240
1514dd344
hexe6e0f0

15130864 has 40 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 6359808.

The previous prime is 15130853. The next prime is 15130889. The reversal of 15130864 is 46803151.

15130864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4662 + ... + 7210.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 215130864 is an apocalyptic number.

15130864 is a gapful number since it is divisible by the number (14) 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 15130864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

15130864 is an abundant number, since it is smaller than the sum of its proper divisors (19018736).

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

15130864 is a wasteful number, since it uses less digits than its factorization.

15130864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 15130864 is about 3889.8411278611. The cubic root of 15130864 is about 247.3363282057.

The spelling of 15130864 in words is "fifteen million, one hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2549 2968 5098 5936 10196 17843 20392 35686 40784 71372 135097 142744 270194 285488 540388 945679 1080776 1891358 2161552 3782716 7565432 15130864