10007140 has 48 divisors (see below), whose sum is σ = 24696000. Its totient is φ = 3358080.

The previous prime is 10007087. The next prime is 10007143. The reversal of 10007140 is 4170001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10007140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111 + ... + 4609.

It is an arithmetic number, because the mean of its divisors is an integer number (514500).

Almost surely, 2^10007140 is an apocalyptic number.

10007140 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 10007140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348000).

10007140 is an abundant number, since it is smaller than the sum of its proper divisors (14688860).

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

10007140 is a wasteful number, since it uses less digits than its factorization.

10007140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10007140 is about 3163.4063918504. The cubic root of 10007140 is about 215.4947323501.

Adding to 10007140 its reverse (4170001), we get a palindrome (14177141).

The spelling of 10007140 in words is "ten million, seven thousand, one hundred forty".