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40166145 = 335893343
BaseRepresentation
bin1001100100111…
…0001100000001
32210120122121000
42121032030001
540240304040
63552522213
7665256315
oct231161401
983518530
1040166145
1120744468
1211550369
138424366
145497b45
1537d6130
hex264e301

40166145 has 32 divisors (see below), whose sum is σ = 72230400. Its totient is φ = 21174912.

The previous prime is 40166143. The next prime is 40166177. The reversal of 40166145 is 54166104.

40166145 is a `hidden beast` number, since 40 + 1 + 6 + 614 + 5 = 666.

It is not a de Polignac number, because 40166145 - 21 = 40166143 is a prime.

It is a super-2 number, since 2×401661452 = 3226638408322050, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40166141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10344 + ... + 13686.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 240166145 is an apocalyptic number.

40166145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40166145 is a deficient number, since it is larger than the sum of its proper divisors (32064255).

40166145 is a wasteful number, since it uses less digits than its factorization.

40166145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40166145 is about 6337.6766247577. The cubic root of 40166145 is about 342.4680418438.

The spelling of 40166145 in words is "forty million, one hundred sixty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 89 135 267 445 801 1335 2403 3343 4005 10029 12015 16715 30087 50145 90261 150435 297527 451305 892581 1487635 2677743 4462905 8033229 13388715 40166145