Search a number
-
+
14997060 = 223251321729
BaseRepresentation
bin111001001101…
…011001000100
31001012221002200
4321031121010
512314401220
61253234500
7241321131
oct71153104
931187080
1014997060
118513571
125032a30
133151200
141dc5588
1514b3890
hexe4d644

14997060 has 216 divisors, whose sum is σ = 53955720. Its totient is φ = 3354624.

The previous prime is 14997041. The next prime is 14997083. The reversal of 14997060 is 6079941.

It can be written as a sum of positive squares in 12 ways, for example, as 6140484 + 8856576 = 2478^2 + 2976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 517126 + ... + 517154.

It is an arithmetic number, because the mean of its divisors is an integer number (249795).

Almost surely, 214997060 is an apocalyptic number.

14997060 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 14997060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26977860).

14997060 is an abundant number, since it is smaller than the sum of its proper divisors (38958660).

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

14997060 is a wasteful number, since it uses less digits than its factorization.

14997060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 14997060 is about 3872.6037752396. The cubic root of 14997060 is about 246.6050937947.

The spelling of 14997060 in words is "fourteen million, nine hundred ninety-seven thousand, sixty".