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4102020 = 22325131753
BaseRepresentation
bin1111101001011110000100
321201101220200
433221132010
52022231040
6223530500
746603146
oct17513604
97641820
104102020
1123519aa
121459a30
13b08140
1478ac96
15560630
hex3e9784

4102020 has 72 divisors (see below), whose sum is σ = 13407576. Its totient is φ = 1009152.

The previous prime is 4101991. The next prime is 4102037. The reversal of 4102020 is 202014.

4102020 = T31 + T32 + ... + T290.

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 3968064 = 366^2 + 1992^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 4101993 and 4102011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464 + ... + 3216.

Almost surely, 24102020 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 4102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703788).

4102020 is an abundant number, since it is smaller than the sum of its proper divisors (9305556).

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

4102020 is a wasteful number, since it uses less digits than its factorization.

4102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4102020 is about 2025.3444151551. The cubic root of 4102020 is about 160.0783470463.

Adding to 4102020 its reverse (202014), we get a palindrome (4304034).

The spelling of 4102020 in words is "four million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1753 2340 3506 5259 7012 8765 10518 15777 17530 21036 22789 26295 31554 35060 45578 52590 63108 68367 78885 91156 105180 113945 136734 157770 205101 227890 273468 315540 341835 410202 455780 683670 820404 1025505 1367340 2051010 4102020