Search a number
-
+
9073678320 = 243557131509
BaseRepresentation
bin10000111001101010…
…10101011111110000
3212102100201121200000
420130311111133300
5122040330201240
64100212230000
7440565664440
oct103465253760
925370647600
109073678320
113936944903
12191290b300
13b17b09135
14621114120
153818d2430
hex21cd557f0

9073678320 has 480 divisors, whose sum is σ = 36462666240. Its totient is φ = 2054108160.

The previous prime is 9073678309. The next prime is 9073678333. The reversal of 9073678320 is 238763709.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17826226 + ... + 17826734.

It is an arithmetic number, because the mean of its divisors is an integer number (75963888).

Almost surely, 29073678320 is an apocalyptic number.

9073678320 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 9073678320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231333120).

9073678320 is an abundant number, since it is smaller than the sum of its proper divisors (27388987920).

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

9073678320 is a wasteful number, since it uses less digits than its factorization.

9073678320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 9073678320 is about 95255.8571427500. The cubic root of 9073678320 is about 2085.7445919874.

The spelling of 9073678320 in words is "nine billion, seventy-three million, six hundred seventy-eight thousand, three hundred twenty".