Search a number
-
+
8027542380 = 223511133130181
BaseRepresentation
bin1110111100111101…
…01001001101101100
3202201110020101221110
413132132221031230
5112420022324010
63404322032020
7402633661434
oct73636511554
922643211843
108027542380
11344a37a450
1216804a8610
139ac1675a0
145621d72c4
1531eb3b120
hex1de7a936c

8027542380 has 192 divisors, whose sum is σ = 27259416576. Its totient is φ = 1738368000.

The previous prime is 8027542379. The next prime is 8027542381. The reversal of 8027542380 is 832457208.

It is an interprime number because it is at equal distance from previous prime (8027542379) and next prime (8027542381).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (8027542381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250890 + ... + 281070.

It is an arithmetic number, because the mean of its divisors is an integer number (141976128).

Almost surely, 28027542380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027542380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629708288).

8027542380 is an abundant number, since it is smaller than the sum of its proper divisors (19231874196).

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

8027542380 is a wasteful number, since it uses less digits than its factorization.

8027542380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30248 (or 30246 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 8027542380 is about 89596.5533935318. The cubic root of 8027542380 is about 2002.2925693920.

Adding to 8027542380 its reverse (832457208), we get a palindrome (8859999588).

The spelling of 8027542380 in words is "eight billion, twenty-seven million, five hundred forty-two thousand, three hundred eighty".