Search a number
-
+
6888280320 = 283251722069
BaseRepresentation
bin1100110101001001…
…01101000100000000
3122210001111220012100
412122210231010000
5103101344432240
63055303430400
7332461262625
oct63244550400
918701456170
106888280320
112a15288a59
121402a55400
1385a11ac1c
14494b9834c
152a4aebe30
hex19a92d100

6888280320 has 324 divisors, whose sum is σ = 25329360420. Its totient is φ = 1727987712.

The previous prime is 6888280297. The next prime is 6888280367. The reversal of 6888280320 is 230828886.

It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 6879707136 = 2928^2 + 82944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3328246 + ... + 3330314.

Almost surely, 26888280320 is an apocalyptic number.

6888280320 is a gapful number since it is divisible by the number (60) 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 6888280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12664680210).

6888280320 is an abundant number, since it is smaller than the sum of its proper divisors (18441080100).

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

6888280320 is a wasteful number, since it uses less digits than its factorization.

6888280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6888280320 is about 82995.6644650791. The cubic root of 6888280320 is about 1902.6997925859.

The spelling of 6888280320 in words is "six billion, eight hundred eighty-eight million, two hundred eighty thousand, three hundred twenty".