Search a number
-
+
6380995320 = 23365743727
BaseRepresentation
bin1011111000101011…
…00100001011111000
3121110200222011000000
411330111210023320
5101032013322240
62533102513000
7314061364620
oct57425441370
917420864000
106380995320
1127849a6257
1212a0b95760
137a8cb4c9b
14447667880
152752e5430
hex17c5642f8

6380995320 has 448 divisors, whose sum is σ = 25207902720. Its totient is φ = 1422634752.

The previous prime is 6380995289. The next prime is 6380995331. The reversal of 6380995320 is 235990836.

6380995320 is a `hidden beast` number, since 638 + 0 + 9 + 9 + 5 + 3 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8776797 + ... + 8777523.

It is an arithmetic number, because the mean of its divisors is an integer number (56267640).

Almost surely, 26380995320 is an apocalyptic number.

6380995320 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 6380995320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603951360).

6380995320 is an abundant number, since it is smaller than the sum of its proper divisors (18826907400).

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

6380995320 is a wasteful number, since it uses less digits than its factorization.

6380995320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6380995320 is about 79881.1324406458. The cubic root of 6380995320 is about 1854.7959632505.

The spelling of 6380995320 in words is "six billion, three hundred eighty million, nine hundred ninety-five thousand, three hundred twenty".