Search a number
-
+
9230392080 = 24325713178287
BaseRepresentation
bin10001001100010110…
…01001101100010000
3212211021121111112100
420212023021230100
5122400440021310
64123531200400
7444511016040
oct104613115420
925737544470
109230392080
113a07352208
1219572a6100
13b41418b80
14637c69720
1539053aec0
hex2262c9b10

9230392080 has 480 divisors, whose sum is σ = 40401414144. Its totient is φ = 1832730624.

The previous prime is 9230392079. The next prime is 9230392091. The reversal of 9230392080 is 802930329.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1109697 + ... + 1117983.

Almost surely, 29230392080 is an apocalyptic number.

9230392080 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 9230392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20200707072).

9230392080 is an abundant number, since it is smaller than the sum of its proper divisors (31171022064).

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

9230392080 is a wasteful number, since it uses less digits than its factorization.

9230392080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9230392080 is about 96074.9295081709. The cubic root of 9230392080 is about 2097.6839227420.

The spelling of 9230392080 in words is "nine billion, two hundred thirty million, three hundred ninety-two thousand, eighty".