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3965040 = 243255507
BaseRepresentation
bin1111001000000001110000
321110110000100
433020001300
52003340130
6220552400
745462612
oct17100160
97413010
103965040
112268aa2
1213b2700
13a8a9a1
14752db2
15534c60
hex3c8070

3965040 has 60 divisors (see below), whose sum is σ = 13318344. Its totient is φ = 1057152.

The previous prime is 3965033. The next prime is 3965041. The reversal of 3965040 is 405693.

It is a happy number.

3965040 is a `hidden beast` number, since 3 + 9 + 650 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3964995 and 3965013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2034 + ... + 3473.

Almost surely, 23965040 is an apocalyptic number.

3965040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3965040 is an abundant number, since it is smaller than the sum of its proper divisors (9353304).

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

3965040 is a wasteful number, since it uses less digits than its factorization.

3965040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3965040 is about 1991.2408191879. The cubic root of 3965040 is about 158.2762884683.

The spelling of 3965040 in words is "three million, nine hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5507 11014 16521 22028 27535 33042 44056 49563 55070 66084 82605 88112 99126 110140 132168 165210 198252 220280 247815 264336 330420 396504 440560 495630 660840 793008 991260 1321680 1982520 3965040