Search a number
-
+
9788040 = 233551953
BaseRepresentation
bin100101010101…
…101010001000
3200102021200000
4211111222020
510001204130
6545443000
7146124363
oct45255210
920367600
109788040
115585999
123340460
132049252
14142b0da
15cd5260
hex955a88

9788040 has 192 divisors, whose sum is σ = 35380800. Its totient is φ = 2426112.

The previous prime is 9788029. The next prime is 9788057. The reversal of 9788040 is 408879.

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 = 9787986 and 9788004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184654 + ... + 184706.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 29788040 is an apocalyptic number.

9788040 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 9788040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

9788040 is an abundant number, since it is smaller than the sum of its proper divisors (25592760).

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

9788040 is a wasteful number, since it uses less digits than its factorization.

9788040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9788040 is about 3128.5843443960. The cubic root of 9788040 is about 213.9104059111.

The spelling of 9788040 in words is "nine million, seven hundred eighty-eight thousand, forty".