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8057840 = 245714389
BaseRepresentation
bin11110101111001111110000
3120011101021112
4132233033300
54030322330
6444412452
7125330150
oct36571760
916141245
108057840
114603a7a
122847128
13189186b
1410da760
15a92795
hex7af3f0

8057840 has 40 divisors (see below), whose sum is σ = 21412320. Its totient is φ = 2762496.

The previous prime is 8057837. The next prime is 8057851. The reversal of 8057840 is 487508.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 8057797 and 8057806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6635 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (535308).

Almost surely, 28057840 is an apocalyptic number.

8057840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8057840 is an abundant number, since it is smaller than the sum of its proper divisors (13354480).

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

8057840 is a wasteful number, since it uses less digits than its factorization.

8057840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14409 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 8057840 is about 2838.6334740505. The cubic root of 8057840 is about 200.4808430235.

The spelling of 8057840 in words is "eight million, fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 14389 28778 57556 71945 100723 115112 143890 201446 230224 287780 402892 503615 575560 805784 1007230 1151120 1611568 2014460 4028920 8057840