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4026960 = 2432571747
BaseRepresentation
bin1111010111001001010000
321120120221200
433113021100
52012330320
6222151200
746141260
oct17271120
97516850
104026960
112300573
121422500
13aacc22
1476b7a0
15548290
hex3d7250

4026960 has 240 divisors, whose sum is σ = 16713216. Its totient is φ = 847872.

The previous prime is 4026959. The next prime is 4026961. The reversal of 4026960 is 696204.

4026960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4026959) and next prime (4026961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4026961) 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 47 ways as a sum of consecutive naturals, for example, 85657 + ... + 85703.

Almost surely, 24026960 is an apocalyptic number.

4026960 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 4026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356608).

4026960 is an abundant number, since it is smaller than the sum of its proper divisors (12686256).

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

4026960 is a wasteful number, since it uses less digits than its factorization.

4026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4026960 is about 2006.7286812123. The cubic root of 4026960 is about 159.0959430442.

It can be divided in two parts, 40 and 26960, that added together give a cube (27000 = 303).

The spelling of 4026960 in words is "four million, twenty-six thousand, nine hundred sixty".