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8080315920 = 243357947353
BaseRepresentation
bin1111000011001111…
…11101011000010000
3202212010112120122000
413201213331120100
5113022030102140
63413445114000
7404144360235
oct74147753020
922763476560
108080315920
113477144a46
1216960b8900
139ba084231
1456921378c
153245b2a30
hex1e19fd610

8080315920 has 160 divisors (see below), whose sum is σ = 28185100800. Its totient is φ = 2127430656.

The previous prime is 8080315861. The next prime is 8080315937. The reversal of 8080315920 is 295130808.

It is a super-3 number, since 3×80803159203 (a number of 31 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 146964 + ... + 194316.

It is an arithmetic number, because the mean of its divisors is an integer number (176156880).

Almost surely, 28080315920 is an apocalyptic number.

8080315920 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 8080315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092550400).

8080315920 is an abundant number, since it is smaller than the sum of its proper divisors (20104784880).

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

8080315920 is a wasteful number, since it uses less digits than its factorization.

8080315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47454 (or 47442 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8080315920 is about 89890.5774817361. The cubic root of 8080315920 is about 2006.6707193486.

The spelling of 8080315920 in words is "eight billion, eighty million, three hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 79 80 90 108 120 135 144 158 180 216 237 240 270 316 360 395 432 474 540 632 711 720 790 948 1080 1185 1264 1422 1580 1896 2133 2160 2370 2844 3160 3555 3792 4266 4740 5688 6320 7110 8532 9480 10665 11376 14220 17064 18960 21330 28440 34128 42660 47353 56880 85320 94706 142059 170640 189412 236765 284118 378824 426177 473530 568236 710295 757648 852354 947060 1136472 1278531 1420590 1704708 1894120 2130885 2272944 2557062 2841180 3409416 3740887 3788240 4261770 5114124 5682360 6392655 6818832 7481774 8523540 10228248 11222661 11364720 12785310 14963548 17047080 18704435 20456496 22445322 25570620 29927096 33667983 34094160 37408870 44890644 51141240 56113305 59854192 67335966 74817740 89781288 101003949 102282480 112226610 134671932 149635480 168339915 179562576 202007898 224453220 269343864 299270960 336679830 404015796 448906440 505019745 538687728 673359660 808031592 897812880 1010039490 1346719320 1616063184 2020078980 2693438640 4040157960 8080315920