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4005240 = 233533377
BaseRepresentation
bin1111010001110101111000
321112111011020
433101311320
52011131430
6221502440
746021041
oct17216570
97474136
104005240
112296218
121411a20
13aa3085
147638c8
15541b10
hex3d1d78

4005240 has 32 divisors (see below), whose sum is σ = 12016080. Its totient is φ = 1068032.

The previous prime is 4005233. The next prime is 4005241. The reversal of 4005240 is 425004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005241) 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 7 ways as a sum of consecutive naturals, for example, 16569 + ... + 16808.

Almost surely, 24005240 is an apocalyptic number.

4005240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005240 is an abundant number, since it is smaller than the sum of its proper divisors (8010840).

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

4005240 is a wasteful number, since it uses less digits than its factorization.

4005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33391 (or 33387 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4005240 is about 2001.3095712558. The cubic root of 4005240 is about 158.8093914632.

The spelling of 4005240 in words is "four million, five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 33377 66754 100131 133508 166885 200262 267016 333770 400524 500655 667540 801048 1001310 1335080 2002620 4005240