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8280330640 = 245313790239
BaseRepresentation
bin1111011011000101…
…11101000110010000
3210101001220101020121
413231202331012100
5113424231040030
63445352120024
7412123435441
oct75542750620
923331811217
108280330640
11356a037a6a
121731096014
13a1c64513a
145879db2c8
15336e2147a
hex1ed8bd190

8280330640 has 80 divisors (see below), whose sum is σ = 20410122240. Its totient is φ = 3118625280.

The previous prime is 8280330637. The next prime is 8280330683. The reversal of 8280330640 is 460330828.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8280330596 and 8280330605.

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 15 ways as a sum of consecutive naturals, for example, 46641 + ... + 136879.

It is an arithmetic number, because the mean of its divisors is an integer number (255126528).

Almost surely, 28280330640 is an apocalyptic number.

8280330640 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 8280330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10205061120).

8280330640 is an abundant number, since it is smaller than the sum of its proper divisors (12129791600).

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

8280330640 is a wasteful number, since it uses less digits than its factorization.

8280330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90320 (or 90314 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 8280330640 is about 90996.3221234793. The cubic root of 8280330640 is about 2023.0932121490.

The spelling of 8280330640 in words is "eight billion, two hundred eighty million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 496 592 620 740 1147 1240 1480 2294 2480 2960 4588 5735 9176 11470 18352 22940 45880 90239 91760 180478 360956 451195 721912 902390 1443824 1804780 2797409 3338843 3609560 5594818 6677686 7219120 11189636 13355372 13987045 16694215 22379272 26710744 27974090 33388430 44758544 53421488 55948180 66776860 103504133 111896360 133553720 207008266 223792720 267107440 414016532 517520665 828033064 1035041330 1656066128 2070082660 4140165320 8280330640