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8240899680 = 2532513233863
BaseRepresentation
bin1111010110011001…
…00010011001100000
3210021022201002010200
413223030202121200
5113334132242210
63441423025200
7411134330406
oct75314423140
923238632120
108240899680
1135498559a2
12171ba3b200
13a1441a600
14582695476
153337330c0
hex1eb322660

8240899680 has 216 divisors, whose sum is σ = 30452608368. Its totient is φ = 2028469248.

The previous prime is 8240899649. The next prime is 8240899717. The reversal of 8240899680 is 869980428.

It is a congruent number.

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, 226429 + ... + 260291.

It is an arithmetic number, because the mean of its divisors is an integer number (140984298).

Almost surely, 28240899680 is an apocalyptic number.

8240899680 is a gapful number since it is divisible by the number (80) 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 8240899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226304184).

8240899680 is an abundant number, since it is smaller than the sum of its proper divisors (22211708688).

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

8240899680 is a wasteful number, since it uses less digits than its factorization.

8240899680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33910 (or 33886 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8240899680 is about 90779.4011877144. The cubic root of 8240899680 is about 2019.8767758051.

The spelling of 8240899680 in words is "eight billion, two hundred forty million, eight hundred ninety-nine thousand, six hundred eighty".