Search a number
20069280 = 25325711181

20069280 has 288 divisors, whose sum is σ = 85857408. Its totient is φ = 4147200.

The previous prime is 20069251. The next prime is 20069303. The reversal of 20069280 is 8296002.

20069280 is a nontrivial binomial coefficient, being equal to C(6336, 2).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 110790 + ... + 110970.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 220069280 is an apocalyptic number.

20069280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20069280 is the 6335-th triangular number and also the 3168-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

20069280 is an abundant number, since it is smaller than the sum of its proper divisors (65788128).

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

20069280 is a wasteful number, since it uses less digits than its factorization.

20069280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20069280 is about 4479.8749982561. The cubic root of 20069280 is about 271.7548252074.

The spelling of 20069280 in words is "twenty million, sixty-nine thousand, two hundred eighty".