Search a number
-
+
9896040 = 23335721117
BaseRepresentation
bin100101110000…
…000001101000
3200121202211000
4211300001220
510013133130
6552035000
7150054300
oct45600150
920552730
109896040
11564a050
123392a60
13208645b
141458600
15d07260
hex970068

9896040 has 384 divisors, whose sum is σ = 44323200. Its totient is φ = 1935360.

The previous prime is 9896039. The next prime is 9896041. The reversal of 9896040 is 406989.

It is an interprime number because it is at equal distance from previous prime (9896039) and next prime (9896041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9895986 and 9896004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9896041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582112 + ... + 582128.

It is an arithmetic number, because the mean of its divisors is an integer number (115425).

Almost surely, 29896040 is an apocalyptic number.

9896040 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 9896040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161600).

9896040 is an abundant number, since it is smaller than the sum of its proper divisors (34427160).

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

9896040 is a wasteful number, since it uses less digits than its factorization.

9896040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9896040 is about 3145.7971962604. The cubic root of 9896040 is about 214.6942833615.

The spelling of 9896040 in words is "nine million, eight hundred ninety-six thousand, forty".