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4075440 = 243516981
BaseRepresentation
bin1111100010111110110000
321200001110020
433202332300
52020403230
6223203440
746432515
oct17427660
97601406
104075440
112333a36
121446580
13ac9005
1478130c
15557810
hex3e2fb0

4075440 has 40 divisors (see below), whose sum is σ = 12634608. Its totient is φ = 1086720.

The previous prime is 4075433. The next prime is 4075447. The reversal of 4075440 is 445704.

It is an interprime number because it is at equal distance from previous prime (4075433) and next prime (4075447).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40754402 = 33218422387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4075440.

It is not an unprimeable number, because it can be changed into a prime (4075447) 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, 8251 + ... + 8730.

Almost surely, 24075440 is an apocalyptic number.

4075440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4075440 is an abundant number, since it is smaller than the sum of its proper divisors (8559168).

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

4075440 is a wasteful number, since it uses less digits than its factorization.

4075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16997 (or 16991 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4075440 is about 2018.7719039059. The cubic root of 4075440 is about 159.7318424899.

The spelling of 4075440 in words is "four million, seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16981 33962 50943 67924 84905 101886 135848 169810 203772 254715 271696 339620 407544 509430 679240 815088 1018860 1358480 2037720 4075440