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2780320840 = 235118970999
BaseRepresentation
bin1010010110111000…
…0101010001001000
321011202122221011221
42211232011101020
521143230231330
61135515531424
7125620223443
oct24556052110
97152587157
102780320840
1111a7467220
12657159b74
13354029b7b
141c538065a
1511414db7a
hexa5b85448

2780320840 has 64 divisors (see below), whose sum is σ = 6901200000. Its totient is φ = 999651840.

The previous prime is 2780320793. The next prime is 2780320843. The reversal of 2780320840 is 480230872.

It is a junction number, because it is equal to n+sod(n) for n = 2780320796 and 2780320805.

It is not an unprimeable number, because it can be changed into a prime (2780320843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661 + ... + 74659.

It is an arithmetic number, because the mean of its divisors is an integer number (107831250).

Almost surely, 22780320840 is an apocalyptic number.

2780320840 is a gapful number since it is divisible by the number (20) 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 2780320840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450600000).

2780320840 is an abundant number, since it is smaller than the sum of its proper divisors (4120879160).

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

2780320840 is a wasteful number, since it uses less digits than its factorization.

2780320840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71110 (or 71106 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2780320840 is about 52728.7477567977. The cubic root of 2780320840 is about 1406.1499583416.

The spelling of 2780320840 in words is "two billion, seven hundred eighty million, three hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 3560 3916 4895 7832 9790 19580 39160 70999 141998 283996 354995 567992 709990 780989 1419980 1561978 2839960 3123956 3904945 6247912 6318911 7809890 12637822 15619780 25275644 31239560 31594555 50551288 63189110 69508021 126378220 139016042 252756440 278032084 347540105 556064168 695080210 1390160420 2780320840