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40065705 = 335463641
BaseRepresentation
bin1001100011010…
…1101010101001
32210101112211000
42120311222221
540224100310
63550425213
7664360431
oct230655251
983345730
1040065705
1120685a59
1211502209
1383ba724
14546d2c1
1537b64c0
hex2635aa9

40065705 has 32 divisors (see below), whose sum is σ = 71493120. Its totient is φ = 21288960.

The previous prime is 40065703. The next prime is 40065713. The reversal of 40065705 is 50756004.

40065705 is a `hidden beast` number, since 4 + 0 + 0 + 657 + 0 + 5 = 666.

40065705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40065705 - 21 = 40065703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40065703) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62185 + ... + 62825.

It is an arithmetic number, because the mean of its divisors is an integer number (2234160).

Almost surely, 240065705 is an apocalyptic number.

40065705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40065705 is a deficient number, since it is larger than the sum of its proper divisors (31427415).

40065705 is a wasteful number, since it uses less digits than its factorization.

40065705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40065705 is about 6329.7476253007. The cubic root of 40065705 is about 342.1823435140.

The spelling of 40065705 in words is "forty million, sixty-five thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 45 135 463 641 1389 1923 2315 3205 4167 5769 6945 9615 12501 17307 20835 28845 62505 86535 296783 890349 1483915 2671047 4451745 8013141 13355235 40065705