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4241120 = 255132039
BaseRepresentation
bin10000001011011011100000
321222110201112
4100023123200
52041203440
6230522452
751022532
oct20133340
97873645
104241120
112437464
121506428
13b56550
147c5852
1558b965
hex40b6e0

4241120 has 48 divisors (see below), whose sum is σ = 10795680. Its totient is φ = 1565184.

The previous prime is 4241119. The next prime is 4241129. The reversal of 4241120 is 211424.

It is a junction number, because it is equal to n+sod(n) for n = 4241095 and 4241104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241129) 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, 1061 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 24241120 is an apocalyptic number.

4241120 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 4241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840).

4241120 is an abundant number, since it is smaller than the sum of its proper divisors (6554560).

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

4241120 is a wasteful number, since it uses less digits than its factorization.

4241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4241120 is about 2059.3979702816. The cubic root of 4241120 is about 161.8676966836.

Adding to 4241120 its reverse (211424), we get a palindrome (4452544).

The spelling of 4241120 in words is "four million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2039 2080 4078 8156 10195 16312 20390 26507 32624 40780 53014 65248 81560 106028 132535 163120 212056 265070 326240 424112 530140 848224 1060280 2120560 4241120