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4141840 = 245232251
BaseRepresentation
bin1111110011001100010000
321210102112111
433303030100
52030014330
6224435104
750130223
oct17631420
97712474
104141840
11237990a
121478a94
13b202c1
1479b5ba
1556c32a
hex3f3310

4141840 has 40 divisors (see below), whose sum is σ = 10052928. Its totient is φ = 1584000.

The previous prime is 4141831. The next prime is 4141843. The reversal of 4141840 is 481414.

4141840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4141843) 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 7 ways as a sum of consecutive naturals, for example, 715 + ... + 2965.

Almost surely, 24141840 is an apocalyptic number.

4141840 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 4141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026464).

4141840 is an abundant number, since it is smaller than the sum of its proper divisors (5911088).

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

4141840 is a wasteful number, since it uses less digits than its factorization.

4141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4141840 is about 2035.1511000415. The cubic root of 4141840 is about 160.5946621179.

The spelling of 4141840 in words is "four million, one hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2251 4502 9004 11255 18008 22510 36016 45020 51773 90040 103546 180080 207092 258865 414184 517730 828368 1035460 2070920 4141840