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BaseRepresentation
bin100101111010…
…111000010100
3200201000210200
4211322320110
510021044000
6553020500
7150331023
oct45727024
920630720
109940500
11567a499
1233b4730
1320a076b
14146a8ba
15d15500
hex97ae14

9940500 has 108 divisors (see below), whose sum is σ = 32040372. Its totient is φ = 2594400.

The previous prime is 9940471. The next prime is 9940501. The reversal of 9940500 is 50499.

Multipling 9940500 by its product of nonzero digits (1620), we get a square (16103610000 = 1269002).

Adding to 9940500 its reverse (50499), we get a palindrome (9990999).

It can be divided in two parts, 9940 and 500, that added together give a triangular number (10440 = T144).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9940500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 9622404 = 564^2 + 3102^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9940501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211477 + ... + 211523.

Almost surely, 29940500 is an apocalyptic number.

9940500 is a gapful number since it is divisible by the number (90) 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 9940500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020186).

9940500 is an abundant number, since it is smaller than the sum of its proper divisors (22099872).

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

9940500 is a wasteful number, since it uses less digits than its factorization.

9940500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9940500 is about 3152.8558482747. The cubic root of 9940500 is about 215.0153225063.

The spelling of 9940500 in words is "nine million, nine hundred forty thousand, five hundred".