140416020 has 72 divisors (see below), whose sum is σ = 426895560. Its totient is φ = 37359360.

The previous prime is 140416007. The next prime is 140416043. The reversal of 140416020 is 20614041.

It can be written as a sum of positive squares in 4 ways, for example, as 23386896 + 117029124 = 4836^2 + 10818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140415984 and 140416002.

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 23 ways as a sum of consecutive naturals, for example, 148750 + ... + 149690.

It is an arithmetic number, because the mean of its divisors is an integer number (5929105).

Almost surely, 2^140416020 is an apocalyptic number.

140416020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140416020 is an abundant number, since it is smaller than the sum of its proper divisors (286479540).

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

140416020 is a wasteful number, since it uses less digits than its factorization.

140416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140416020 is about 11849.7265791241. The cubic root of 140416020 is about 519.7632304733.

It can be divided in two parts, 1404 and 16020, that added together give a square (17424 = 132²).

The spelling of 140416020 in words is "one hundred forty million, four hundred sixteen thousand, twenty".