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8422068240 = 2432523508579
BaseRepresentation
bin1111101011111111…
…01001000000010000
3210201221121101200100
413311333221000100
5114222022140430
63511414052400
7415464253545
oct76577510020
923657541610
108422068240
113632046583
12177064a100
13a42b10341
1459c774bcc
153445bc960
hex1f5fe9010

8422068240 has 120 divisors (see below), whose sum is σ = 29513914560. Its totient is φ = 2148233472.

The previous prime is 8422068223. The next prime is 8422068247. The reversal of 8422068240 is 428602248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8422068195 and 8422068204.

It is not an unprimeable number, because it can be changed into a prime (8422068247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 237730 + ... + 270849.

It is an arithmetic number, because the mean of its divisors is an integer number (245949288).

Almost surely, 28422068240 is an apocalyptic number.

8422068240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8422068240 is an abundant number, since it is smaller than the sum of its proper divisors (21091846320).

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

8422068240 is a wasteful number, since it uses less digits than its factorization.

8422068240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508621 (or 508612 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8422068240 is about 91771.8270494818. The cubic root of 8422068240 is about 2034.5713219473.

The spelling of 8422068240 in words is "eight billion, four hundred twenty-two million, sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 508579 1017158 1525737 2034316 2542895 3051474 4068632 4577211 5085790 6102948 7628685 8137264 9154422 10171580 11697317 12205896 15257370 18308844 20343160 22886055 23394634 24411792 30514740 35091951 36617688 40686320 45772110 46789268 58486585 61029480 70183902 73235376 91544220 93578536 105275853 116973170 122058960 140367804 175459755 183088440 187157072 210551706 233946340 280735608 350919510 366176880 421103412 467892680 526379265 561471216 701839020 842206824 935785360 1052758530 1403678040 1684413648 2105517060 2807356080 4211034120 8422068240