Search a number
-
+
4102120 = 235119323
BaseRepresentation
bin1111101001011111101000
321201102001101
433221133220
52022231440
6223531144
746603351
oct17513750
97642041
104102120
112351a90
121459ab4
13b081b9
1478ad28
1556069a
hex3e97e8

4102120 has 32 divisors (see below), whose sum is σ = 10069920. Its totient is φ = 1491520.

The previous prime is 4102097. The next prime is 4102121. The reversal of 4102120 is 212014.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 4102097 and 4102106.

It is not an unprimeable number, because it can be changed into a prime (4102121) 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, 4222 + ... + 5101.

It is an arithmetic number, because the mean of its divisors is an integer number (314685).

Almost surely, 24102120 is an apocalyptic number.

4102120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102120 is an abundant number, since it is smaller than the sum of its proper divisors (5967800).

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

4102120 is a wasteful number, since it uses less digits than its factorization.

4102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4102120 is about 2025.3691021639. The cubic root of 4102120 is about 160.0796478448.

Adding to 4102120 its reverse (212014), we get a palindrome (4314134).

It can be divided in two parts, 41021 and 20, that added together give a triangular number (41041 = T286).

The spelling of 4102120 in words is "four million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9323 18646 37292 46615 74584 93230 102553 186460 205106 372920 410212 512765 820424 1025530 2051060 4102120