Search a number
-
+
6309310080 = 273547139503
BaseRepresentation
bin1011110000001000…
…00110111010000000
3121021201002011100010
411320010012322000
5100410140410310
62522022224520
7312231152013
oct57004067200
917251064303
106309310080
112748494057
121280b85140
137971a6398
1443bd2737a
1526dd85320
hex178106e80

6309310080 has 256 divisors, whose sum is σ = 20727705600. Its totient is φ = 1631588352.

The previous prime is 6309310057. The next prime is 6309310097. The reversal of 6309310080 is 800139036.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12543109 + ... + 12543611.

It is an arithmetic number, because the mean of its divisors is an integer number (80967600).

Almost surely, 26309310080 is an apocalyptic number.

6309310080 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 6309310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10363852800).

6309310080 is an abundant number, since it is smaller than the sum of its proper divisors (14418395520).

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

6309310080 is a wasteful number, since it uses less digits than its factorization.

6309310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 6309310080 is about 79431.1656719200. The cubic root of 6309310080 is about 1847.8240870014.

The spelling of 6309310080 in words is "six billion, three hundred nine million, three hundred ten thousand, eighty".