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4103840 = 255131973
BaseRepresentation
bin1111101001111010100000
321201111102002
433221322200
52022310330
6223543132
746611356
oct17517240
97644362
104103840
112353304
12145aaa8
13b08c10
1478b7d6
15560e45
hex3e9ea0

4103840 has 48 divisors (see below), whose sum is σ = 10446408. Its totient is φ = 1514496.

The previous prime is 4103839. The next prime is 4103861. The reversal of 4103840 is 483014.

It can be written as a sum of positive squares in 4 ways, for example, as 1948816 + 2155024 = 1396^2 + 1468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1094 + ... + 3066.

Almost surely, 24103840 is an apocalyptic number.

4103840 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 4103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223204).

4103840 is an abundant number, since it is smaller than the sum of its proper divisors (6342568).

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

4103840 is a wasteful number, since it uses less digits than its factorization.

4103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4103840 is about 2025.7936716260. The cubic root of 4103840 is about 160.1020182712.

Adding to 4103840 its reverse (483014), we get a palindrome (4586854).

The spelling of 4103840 in words is "four million, one hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1973 2080 3946 7892 9865 15784 19730 25649 31568 39460 51298 63136 78920 102596 128245 157840 205192 256490 315680 410384 512980 820768 1025960 2051920 4103840