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4295680 = 2105839
BaseRepresentation
bin10000011000110000000000
322002020120021
4100120300000
52044430210
6232023224
751340564
oct20306000
98066507
104295680
112474454
121531b14
13b7532c
147db6a4
1559cbda
hex418c00

4295680 has 44 divisors (see below), whose sum is σ = 10316880. Its totient is φ = 1716224.

The previous prime is 4295671. The next prime is 4295689. The reversal of 4295680 is 865924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4295671) and next prime (4295689).

It is not an unprimeable number, because it can be changed into a prime (4295689) 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, 4701 + ... + 5539.

Almost surely, 24295680 is an apocalyptic number.

4295680 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 4295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158440).

4295680 is an abundant number, since it is smaller than the sum of its proper divisors (6021200).

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

4295680 is an equidigital number, since it uses as much as digits as its factorization.

4295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 4295680 is about 2072.6022290830. The cubic root of 4295680 is about 162.5588583630.

The spelling of 4295680 in words is "four million, two hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 839 1024 1280 1678 2560 3356 4195 5120 6712 8390 13424 16780 26848 33560 53696 67120 107392 134240 214784 268480 429568 536960 859136 1073920 2147840 4295680