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4141040 = 245371399
BaseRepresentation
bin1111110010111111110000
321210101102212
433302333300
52030003130
6224431252
750125001
oct17627760
97711385
104141040
112379252
121478528
13b1cb27
1479b1a8
1556be95
hex3f2ff0

4141040 has 40 divisors (see below), whose sum is σ = 9895200. Its totient is φ = 1610496.

The previous prime is 4141009. The next prime is 4141057. The reversal of 4141040 is 401414.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2261 + ... + 3659.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 24141040 is an apocalyptic number.

4141040 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 4141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947600).

4141040 is an abundant number, since it is smaller than the sum of its proper divisors (5754160).

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

4141040 is a wasteful number, since it uses less digits than its factorization.

4141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1443 counting only the distinct ones).

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

The square root of 4141040 is about 2034.9545449469. The cubic root of 4141040 is about 160.5843217859.

Adding to 4141040 its reverse (401414), we get a palindrome (4542454).

The spelling of 4141040 in words is "four million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1399 1480 2798 2960 5596 6995 11192 13990 22384 27980 51763 55960 103526 111920 207052 258815 414104 517630 828208 1035260 2070520 4141040