20251140 has 96 divisors (see below), whose sum is σ = 69807360. Its totient is φ = 4271616.

The previous prime is 20251129. The next prime is 20251183. The reversal of 20251140 is 4115202.

20251140 = 117² + 118² + ... + 396².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3606 + ... + 7314.

It is an arithmetic number, because the mean of its divisors is an integer number (727160).

Almost surely, 2^20251140 is an apocalyptic number.

20251140 is a gapful number since it is divisible by the number (20) 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 20251140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34903680).

20251140 is an abundant number, since it is smaller than the sum of its proper divisors (49556220).

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

20251140 is a wasteful number, since it uses less digits than its factorization.

20251140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20251140 is about 4500.1266648840. The cubic root of 20251140 is about 272.5732036868.

Adding to 20251140 its reverse (4115202), we get a palindrome (24366342).

The spelling of 20251140 in words is "twenty million, two hundred fifty-one thousand, one hundred forty".