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4101020 = 2257112663
BaseRepresentation
bin1111101001001110011100
321201100112122
433221032130
52022213040
6223522112
746600220
oct17511634
97640478
104101020
112351180
121459338
13b07851
1478a780
155601b5
hex3e939c

4101020 has 48 divisors (see below), whose sum is σ = 10741248. Its totient is φ = 1277760.

The previous prime is 4101011. The next prime is 4101023. The reversal of 4101020 is 201014.

It is a junction number, because it is equal to n+sod(n) for n = 4100989 and 4101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (223776).

Almost surely, 24101020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624).

4101020 is an abundant number, since it is smaller than the sum of its proper divisors (6640228).

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

4101020 is a wasteful number, since it uses less digits than its factorization.

4101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 4101020 is about 2025.0975285156. The cubic root of 4101020 is about 160.0653378982.

Adding to 4101020 its reverse (201014), we get a palindrome (4302034).

The spelling of 4101020 in words is "four million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2663 5326 10652 13315 18641 26630 29293 37282 53260 58586 74564 93205 117172 146465 186410 205051 292930 372820 410102 585860 820204 1025255 2050510 4101020