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8085350640 = 243547597079
BaseRepresentation
bin1111000011110110…
…01010100011110000
3202212111000100222010
413201323022203300
5113024322210030
63414145042520
7404235226563
oct74173124360
922774010863
108085350640
113479a73674
121697926440
139bb127a63
14569b644da
15324c596b0
hex1e1eca8f0

8085350640 has 80 divisors (see below), whose sum is σ = 25073395200. Its totient is φ = 2155335936.

The previous prime is 8085350627. The next prime is 8085350659. The reversal of 8085350640 is 460535808.

It is a happy number.

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

It is a congruent number.

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, 1138621 + ... + 1145699.

It is an arithmetic number, because the mean of its divisors is an integer number (313417440).

Almost surely, 28085350640 is an apocalyptic number.

8085350640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8085350640 is an abundant number, since it is smaller than the sum of its proper divisors (16988044560).

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

8085350640 is a wasteful number, since it uses less digits than its factorization.

8085350640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 8085350640 is about 89918.5778357287. The cubic root of 8085350640 is about 2007.0874079898.

The spelling of 8085350640 in words is "eight billion, eighty-five million, three hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4759 7079 9518 14158 14277 19036 21237 23795 28316 28554 35395 38072 42474 47590 56632 57108 70790 71385 76144 84948 95180 106185 113264 114216 141580 142770 169896 190360 212370 228432 283160 285540 339792 380720 424740 566320 571080 849480 1142160 1698960 33688961 67377922 101066883 134755844 168444805 202133766 269511688 336889610 404267532 505334415 539023376 673779220 808535064 1010668830 1347558440 1617070128 2021337660 2695116880 4042675320 8085350640