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4065760 = 25525411
BaseRepresentation
bin1111100000100111100000
321122120011201
433200213200
52020101020
6223050544
746362346
oct17404740
97576151
104065760
112327736
121440a54
13ac479a
1477b996
15554a0a
hex3e09e0

4065760 has 24 divisors (see below), whose sum is σ = 9605736. Its totient is φ = 1626240.

The previous prime is 4065757. The next prime is 4065767. The reversal of 4065760 is 675604.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12546 + ... + 12865.

It is an arithmetic number, because the mean of its divisors is an integer number (400239).

Almost surely, 24065760 is an apocalyptic number.

4065760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4065760 is an abundant number, since it is smaller than the sum of its proper divisors (5539976).

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

4065760 is a wasteful number, since it uses less digits than its factorization.

4065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25426 (or 25418 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 4065760 is about 2016.3729813703. The cubic root of 4065760 is about 159.6052770118.

The spelling of 4065760 in words is "four million, sixty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25411 50822 101644 127055 203288 254110 406576 508220 813152 1016440 2032880 4065760