7238140 has 96 divisors (see below), whose sum is σ = 19361664. Its totient is φ = 2211840.

The previous prime is 7238131. The next prime is 7238149. The reversal of 7238140 is 418327.

7238140 = 400² + 401² + ... + 440².

It is an interprime number because it is at equal distance from previous prime (7238131) and next prime (7238149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7238149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74572 + ... + 74668.

It is an arithmetic number, because the mean of its divisors is an integer number (201684).

Almost surely, 2^7238140 is an apocalyptic number.

7238140 is a gapful number since it is divisible by the number (70) 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 7238140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680832).

7238140 is an abundant number, since it is smaller than the sum of its proper divisors (12123524).

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

7238140 is a wasteful number, since it uses less digits than its factorization.

7238140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 7238140 is about 2690.3791554352. The cubic root of 7238140 is about 193.4382374265.

The spelling of 7238140 in words is "seven million, two hundred thirty-eight thousand, one hundred forty".