Search a number
-
+
9438640 = 245127929
BaseRepresentation
bin100100000000…
…010110110000
3122202112101021
4210000112300
54404014030
6534145224
7143140621
oct44002660
918675337
109438640
115367432
1231b2214
131c561c3
141379a48
15c6697a
hex9005b0

9438640 has 40 divisors (see below), whose sum is σ = 22141440. Its totient is φ = 3741696.

The previous prime is 9438623. The next prime is 9438661. The reversal of 9438640 is 468349.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 9438596 and 9438605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9696 + ... + 10624.

It is an arithmetic number, because the mean of its divisors is an integer number (553536).

Almost surely, 29438640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070720).

9438640 is an abundant number, since it is smaller than the sum of its proper divisors (12702800).

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

9438640 is a wasteful number, since it uses less digits than its factorization.

9438640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 9438640 is about 3072.2369700269. The cubic root of 9438640 is about 211.3342112588.

The spelling of 9438640 in words is "nine million, four hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 929 1016 1270 1858 2032 2540 3716 4645 5080 7432 9290 10160 14864 18580 37160 74320 117983 235966 471932 589915 943864 1179830 1887728 2359660 4719320 9438640