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8045307080 = 23523361271
BaseRepresentation
bin1110111111000100…
…11010010011001000
3202202200122221112022
413133202122103020
5112434044311310
63410154504012
7403240660526
oct73742322310
922680587468
108045307080
113459403318
121686435008
139b2a47445
145646dd316
15321499a55
hex1df89a4c8

8045307080 has 128 divisors (see below), whose sum is σ = 19305907200. Its totient is φ = 3016569600.

The previous prime is 8045307071. The next prime is 8045307089. The reversal of 8045307080 is 807035408.

It is an interprime number because it is at equal distance from previous prime (8045307071) and next prime (8045307089).

It is a super-2 number, since 2×80453070802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8045307080.

It is not an unprimeable number, because it can be changed into a prime (8045307089) 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 31 ways as a sum of consecutive naturals, for example, 29687345 + ... + 29687615.

It is an arithmetic number, because the mean of its divisors is an integer number (150827400).

Almost surely, 28045307080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8045307080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652953600).

8045307080 is an abundant number, since it is smaller than the sum of its proper divisors (11260600120).

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

8045307080 is a wasteful number, since it uses less digits than its factorization.

8045307080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 8045307080 is about 89695.6357912691. The cubic root of 8045307080 is about 2003.7684848013.

The spelling of 8045307080 in words is "eight billion, forty-five million, three hundred seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 271 305 460 488 529 542 610 920 1058 1084 1220 1355 1403 2116 2168 2440 2645 2710 2806 4232 5290 5420 5612 6233 7015 10580 10840 11224 12167 12466 14030 16531 21160 24334 24932 28060 31165 32269 33062 48668 49864 56120 60835 62330 64538 66124 82655 97336 121670 124660 129076 132248 143359 161345 165310 243340 249320 258152 286718 322690 330620 380213 486680 573436 645380 661240 716795 742187 760426 1146872 1290760 1433590 1484374 1520852 1901065 2867180 2968748 3041704 3297257 3710935 3802130 5734360 5937496 6594514 7421870 7604260 8744899 13189028 14843740 15208520 16486285 17489798 26378056 29687480 32972570 34979596 43724495 65945140 69959192 87448990 131890280 174897980 201132677 349795960 402265354 804530708 1005663385 1609061416 2011326770 4022653540 8045307080