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4114120 = 235163631
BaseRepresentation
bin1111101100011011001000
321202000111211
433230123020
52023122440
6224102504
746653343
oct17543310
97660454
104114120
11235aaaa
121464a34
13b107ba
1479145a
15563eea
hex3ec6c8

4114120 has 32 divisors (see below), whose sum is σ = 9328320. Its totient is φ = 1632960.

The previous prime is 4114087. The next prime is 4114133. The reversal of 4114120 is 214114.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 4114120.

It is a congruent number.

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, 6205 + ... + 6835.

It is an arithmetic number, because the mean of its divisors is an integer number (291510).

Almost surely, 24114120 is an apocalyptic number.

4114120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114120 is an abundant number, since it is smaller than the sum of its proper divisors (5214200).

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

4114120 is a wasteful number, since it uses less digits than its factorization.

4114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4114120 is about 2028.3293618148. The cubic root of 4114120 is about 160.2355904369.

Adding to 4114120 its reverse (214114), we get a palindrome (4328234).

It can be divided in two parts, 41 and 14120, that added together give a square (14161 = 1192).

The spelling of 4114120 in words is "four million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 163 326 631 652 815 1262 1304 1630 2524 3155 3260 5048 6310 6520 12620 25240 102853 205706 411412 514265 822824 1028530 2057060 4114120