Search a number
-
+
15132816 = 2432195531
BaseRepresentation
bin111001101110…
…100010010000
31001110211022200
4321232202100
512333222231
61300203200
7242424666
oct71564220
931424280
1015132816
1185a6566
125099500
13319ac3a
14201cc36
1514ddbe6
hexe6e890

15132816 has 60 divisors (see below), whose sum is σ = 44587920. Its totient is φ = 4777920.

The previous prime is 15132811. The next prime is 15132853. The reversal of 15132816 is 61823151.

It is a self number, because there is not a number n which added to its sum of digits gives 15132816.

It is not an unprimeable number, because it can be changed into a prime (15132811) 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 11 ways as a sum of consecutive naturals, for example, 30 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (743132).

Almost surely, 215132816 is an apocalyptic number.

15132816 is a gapful number since it is divisible by the number (16) 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 15132816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293960).

15132816 is an abundant number, since it is smaller than the sum of its proper divisors (29455104).

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

15132816 is a wasteful number, since it uses less digits than its factorization.

15132816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5555 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 15132816 is about 3890.0920297597. The cubic root of 15132816 is about 247.3469638564.

Adding to 15132816 its reverse (61823151), we get a palindrome (76955967).

The spelling of 15132816 in words is "fifteen million, one hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 5531 11062 16593 22124 33186 44248 49779 66372 88496 99558 105089 132744 199116 210178 265488 315267 398232 420356 630534 796464 840712 945801 1261068 1681424 1891602 2522136 3783204 5044272 7566408 15132816