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4103920 = 245431193
BaseRepresentation
bin1111101001111011110000
321201111112001
433221323300
52022311140
6223543344
746611532
oct17517360
97644461
104103920
112353377
12145ab54
13b08c72
1478b852
15560e9a
hex3e9ef0

4103920 has 40 divisors (see below), whose sum is σ = 9771696. Its totient is φ = 1602048.

The previous prime is 4103903. The next prime is 4103923. The reversal of 4103920 is 293014.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2844 + ... + 4036.

Almost surely, 24103920 is an apocalyptic number.

4103920 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 4103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885848).

4103920 is an abundant number, since it is smaller than the sum of its proper divisors (5667776).

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

4103920 is a wasteful number, since it uses less digits than its factorization.

4103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4103920 is about 2025.8134168773. The cubic root of 4103920 is about 160.1030586040.

Adding to 4103920 its reverse (293014), we get a palindrome (4396934).

The spelling of 4103920 in words is "four million, one hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1193 1720 2386 3440 4772 5965 9544 11930 19088 23860 47720 51299 95440 102598 205196 256495 410392 512990 820784 1025980 2051960 4103920