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4375040 = 2951709
BaseRepresentation
bin10000101100001000000000
322020021102112
4100230020000
52110000130
6233434452
752121135
oct20541000
98207375
104375040
11251903a
12156ba28
13ba24a7
1481c58c
155b6495
hex42c200

4375040 has 40 divisors (see below), whose sum is σ = 10495980. Its totient is φ = 1748992.

The previous prime is 4375039. The next prime is 4375043. The reversal of 4375040 is 405734.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 246016 = 2032^2 + 496^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4374997 and 4375015.

It is not an unprimeable number, because it can be changed into a prime (4375043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1706 + ... + 3414.

Almost surely, 24375040 is an apocalyptic number.

4375040 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 4375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247990).

4375040 is an abundant number, since it is smaller than the sum of its proper divisors (6120940).

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

4375040 is an equidigital number, since it uses as much as digits as its factorization.

4375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 4375040 is about 2091.6596281422. The cubic root of 4375040 is about 163.5538139561.

The spelling of 4375040 in words is "four million, three hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1709 2560 3418 6836 8545 13672 17090 27344 34180 54688 68360 109376 136720 218752 273440 437504 546880 875008 1093760 2187520 4375040