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4080240 = 243351889
BaseRepresentation
bin1111100100001001110000
321200022001000
433210021300
52021031430
6223242000
746452513
oct17441160
97608030
104080240
1123375aa
121449300
13acb258
14782d7a
15558e60
hex3e4270

4080240 has 80 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1087488.

The previous prime is 4080239. The next prime is 4080253. The reversal of 4080240 is 420804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216 + ... + 3104.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 24080240 is an apocalyptic number.

4080240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

4080240 is an abundant number, since it is smaller than the sum of its proper divisors (9981360).

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

4080240 is a wasteful number, since it uses less digits than its factorization.

4080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4080240 is about 2019.9603956514. The cubic root of 4080240 is about 159.7945279123.

The spelling of 4080240 in words is "four million, eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1889 2160 3778 5667 7556 9445 11334 15112 17001 18890 22668 28335 30224 34002 37780 45336 51003 56670 68004 75560 85005 90672 102006 113340 136008 151120 170010 204012 226680 255015 272016 340020 408024 453360 510030 680040 816048 1020060 1360080 2040120 4080240