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4241680 = 245371433
BaseRepresentation
bin10000001011100100010000
321222111111021
4100023210100
52041213210
6230525224
751024262
oct20134420
97874437
104241680
112437923
121506814
13b56891
147c5b32
1558bbda
hex40b910

4241680 has 40 divisors (see below), whose sum is σ = 10135512. Its totient is φ = 1649664.

The previous prime is 4241663. The next prime is 4241689. The reversal of 4241680 is 861424.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 2359296 = 1372^2 + 1536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2244 + ... + 3676.

Almost surely, 24241680 is an apocalyptic number.

4241680 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 4241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067756).

4241680 is an abundant number, since it is smaller than the sum of its proper divisors (5893832).

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

4241680 is a wasteful number, since it uses less digits than its factorization.

4241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4241680 is about 2059.5339278584. The cubic root of 4241680 is about 161.8748207389.

The spelling of 4241680 in words is "four million, two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1433 1480 2866 2960 5732 7165 11464 14330 22928 28660 53021 57320 106042 114640 212084 265105 424168 530210 848336 1060420 2120840 4241680