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4141400 = 235220707
BaseRepresentation
bin1111110011000101011000
321210101221012
433303011120
52030011100
6224433052
750126024
oct17630530
97711835
104141400
11237954a
121478788
13b20043
1479b384
1556c135
hex3f3158

4141400 has 24 divisors (see below), whose sum is σ = 9629220. Its totient is φ = 1656480.

The previous prime is 4141399. The next prime is 4141409. The reversal of 4141400 is 41414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10154 + ... + 10553.

Almost surely, 24141400 is an apocalyptic number.

4141400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141400 is an abundant number, since it is smaller than the sum of its proper divisors (5487820).

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

4141400 is a wasteful number, since it uses less digits than its factorization.

4141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20723 (or 20714 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4141400 is about 2035.0429970888. The cubic root of 4141400 is about 160.5889751001.

Adding to 4141400 its sum of digits (14), we get a palindrome (4141414).

Adding to 4141400 its reverse (41414), we get a palindrome (4182814).

Multiplying 4141400 by its reverse (41414), we get a square (171511939600 = 4141402).

4141400 divided by its reverse (41414) gives a square (100 = 102).

The spelling of 4141400 in words is "four million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20707 41414 82828 103535 165656 207070 414140 517675 828280 1035350 2070700 4141400