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4141440 = 27325719
BaseRepresentation
bin1111110011000110000000
321210101222200
433303012000
52030011230
6224433200
750126112
oct17630600
97711880
104141440
112379586
121478800
13b20074
1479b3b2
1556c160
hex3f3180

4141440 has 96 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 1102848.

The previous prime is 4141439. The next prime is 4141441. The reversal of 4141440 is 441414.

It is an interprime number because it is at equal distance from previous prime (4141439) and next prime (4141441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5401 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 24141440 is an apocalyptic number.

4141440 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 4141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

4141440 is an abundant number, since it is smaller than the sum of its proper divisors (10179360).

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

4141440 is a wasteful number, since it uses less digits than its factorization.

4141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4141440 is about 2035.0528248672. The cubic root of 4141440 is about 160.5894921184.

Adding to 4141440 its reverse (441414), we get a palindrome (4582854).

The spelling of 4141440 in words is "four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 719 720 960 1152 1438 1440 1920 2157 2876 2880 3595 4314 5752 5760 6471 7190 8628 10785 11504 12942 14380 17256 21570 23008 25884 28760 32355 34512 43140 46016 51768 57520 64710 69024 86280 92032 103536 115040 129420 138048 172560 207072 230080 258840 276096 345120 414144 460160 517680 690240 828288 1035360 1380480 2070720 4141440