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8730080240 = 245717538893
BaseRepresentation
bin10000010000101101…
…00111001111110000
3211112102012000201012
420020112213033300
5120334400031430
64002135530052
7426224312660
oct101026471760
924472160635
108730080240
11377a9a2552
121837829928
13a91884b6b
145cb6321a0
15361660695
hex2085a73f0

8730080240 has 80 divisors (see below), whose sum is σ = 23212913088. Its totient is φ = 2991126528.

The previous prime is 8730080237. The next prime is 8730080243. The reversal of 8730080240 is 420800378.

It is an interprime number because it is at equal distance from previous prime (8730080237) and next prime (8730080243).

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 = 8730080197 and 8730080206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8730080243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977234 + ... + 986126.

Almost surely, 28730080240 is an apocalyptic number.

8730080240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8730080240 is an abundant number, since it is smaller than the sum of its proper divisors (14482832848).

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

8730080240 is a wasteful number, since it uses less digits than its factorization.

8730080240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 8730080240 is about 93434.8984052533. The cubic root of 8730080240 is about 2059.0777472260.

The spelling of 8730080240 in words is "eight billion, seven hundred thirty million, eighty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1753 3506 7012 8765 8893 12271 14024 17530 17786 24542 28048 35060 35572 44465 49084 61355 62251 70120 71144 88930 98168 122710 124502 140240 142288 177860 196336 245420 249004 311255 355720 490840 498008 622510 711440 981680 996016 1245020 2490040 4980080 15589429 31178858 62357716 77947145 109126003 124715432 155894290 218252006 249430864 311788580 436504012 545630015 623577160 873008024 1091260030 1247154320 1746016048 2182520060 4365040120 8730080240