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890656065 = 3251319227353
BaseRepresentation
bin110101000101100…
…101010101000001
32022001221000102200
4311011211111001
53311001443230
6224213503413
731033310625
oct6505452501
92261830380
10890656065
114178300a2
1220a341b69
131126a4630
1486407185
15532d3160
hex35165541

890656065 has 96 divisors (see below), whose sum is σ = 1762750080. Its totient is φ = 412397568.

The previous prime is 890656057. The next prime is 890656087. The reversal of 890656065 is 560656098.

890656065 is a `hidden beast` number, since 89 + 0 + 6 + 560 + 6 + 5 = 666.

It is not a de Polignac number, because 890656065 - 23 = 890656057 is a prime.

It is a super-2 number, since 2×8906560652 = 1586536452242568450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 890656065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2522929 + ... + 2523281.

It is an arithmetic number, because the mean of its divisors is an integer number (18361980).

Almost surely, 2890656065 is an apocalyptic number.

It is an amenable number.

890656065 is a deficient number, since it is larger than the sum of its proper divisors (872094015).

890656065 is a wasteful number, since it uses less digits than its factorization.

890656065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 890656065 is about 29843.8614291113. The cubic root of 890656065 is about 962.1364689991.

The spelling of 890656065 in words is "eight hundred ninety million, six hundred fifty-six thousand, sixty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 227 247 285 353 585 681 741 855 1059 1135 1235 1765 2043 2223 2951 3177 3405 3705 4313 4589 5295 6707 8853 10215 11115 12939 13767 14755 15885 20121 21565 22945 26559 33535 38817 41301 44265 56069 60363 64695 68835 80131 87191 100605 132795 168207 194085 206505 240393 261573 280345 301815 400655 435955 504621 721179 784719 841035 1041703 1201965 1307865 1522489 2523105 3125109 3605895 3923595 4567467 5208515 7612445 9375327 13702401 15625545 19792357 22837335 46876635 59377071 68512005 98961785 178131213 296885355 890656065