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4220240 = 24571743
BaseRepresentation
bin10000000110010101010000
321221102002012
4100012111100
52040021430
6230242052
750604623
oct20062520
97842065
104220240
112422802
1214b6328
13b49bab
147bbdba
15585695
hex406550

4220240 has 40 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 1662080.

The previous prime is 4220239. The next prime is 4220243. The reversal of 4220240 is 420224.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220243) 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, 5309 + ... + 6051.

Almost surely, 24220240 is an apocalyptic number.

4220240 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 4220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

4220240 is an abundant number, since it is smaller than the sum of its proper divisors (5743408).

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

4220240 is a wasteful number, since it uses less digits than its factorization.

4220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4220240 is about 2054.3222726729. The cubic root of 4220240 is about 161.6016223737.

Adding to 4220240 its reverse (420224), we get a palindrome (4640464).

The spelling of 4220240 in words is "four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 743 1136 1420 1486 2840 2972 3715 5680 5944 7430 11888 14860 29720 52753 59440 105506 211012 263765 422024 527530 844048 1055060 2110120 4220240