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43685640 = 23325121349
BaseRepresentation
bin1010011010100…
…1011100001000
310001012110102200
42212221130020
542140420030
64200200200
71040215245
oct246513410
9101173380
1043685640
1122728739
1212769060
1390872bb
145b325cc
153c7dd60
hex29a9708

43685640 has 48 divisors (see below), whose sum is σ = 141979500. Its totient is φ = 11649408.

The previous prime is 43685627. The next prime is 43685683. The reversal of 43685640 is 4658634.

43685640 is a `hidden beast` number, since 4 + 3 + 6 + 8 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40678884 + 3006756 = 6378^2 + 1734^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 43685595 and 43685604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60315 + ... + 61034.

Almost surely, 243685640 is an apocalyptic number.

43685640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43685640 is an abundant number, since it is smaller than the sum of its proper divisors (98293860).

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

43685640 is a wasteful number, since it uses less digits than its factorization.

43685640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121366 (or 121359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 43685640 is about 6609.5113283812. The cubic root of 43685640 is about 352.1920654646.

The spelling of 43685640 in words is "forty-three million, six hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 121349 242698 364047 485396 606745 728094 970792 1092141 1213490 1456188 1820235 2184282 2426980 2912376 3640470 4368564 4853960 5460705 7280940 8737128 10921410 14561880 21842820 43685640