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4013440 = 2756271
BaseRepresentation
bin1111010011110110000000
321112220101221
433103312000
52011412230
6222004424
746053664
oct17236600
97486357
104013440
1122a13a2
121416714
13aa6a22
147668a4
1554427a
hex3d3d80

4013440 has 32 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 1605120.

The previous prime is 4013423. The next prime is 4013441. The reversal of 4013440 is 443104.

4013440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×40134402 = 32215401267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2496 + ... + 3775.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 24013440 is an apocalyptic number.

4013440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013440 is an abundant number, since it is smaller than the sum of its proper divisors (5582720).

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

4013440 is an equidigital number, since it uses as much as digits as its factorization.

4013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4013440 is about 2003.3571823317. The cubic root of 4013440 is about 158.9176953619.

Adding to 4013440 its reverse (443104), we get a palindrome (4456544).

The spelling of 4013440 in words is "four million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6271 12542 25084 31355 50168 62710 100336 125420 200672 250840 401344 501680 802688 1003360 2006720 4013440