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4213640 = 235105341
BaseRepresentation
bin10000000100101110001000
321221002000202
4100010232020
52034314030
6230151332
750546444
oct20045610
97832022
104213640
112418852
1214b2548
13b46ba2
147b9824
15583745
hex404b88

4213640 has 16 divisors (see below), whose sum is σ = 9480780. Its totient is φ = 1685440.

The previous prime is 4213639. The next prime is 4213673. The reversal of 4213640 is 463124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3378244 + 835396 = 1838^2 + 914^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 52631 + ... + 52710.

Almost surely, 24213640 is an apocalyptic number.

4213640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213640 is an abundant number, since it is smaller than the sum of its proper divisors (5267140).

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

4213640 is a wasteful number, since it uses less digits than its factorization.

4213640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105352 (or 105348 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4213640 is about 2052.7152749468. The cubic root of 4213640 is about 161.5173359198.

Adding to 4213640 its reverse (463124), we get a palindrome (4676764).

The spelling of 4213640 in words is "four million, two hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 105341 210682 421364 526705 842728 1053410 2106820 4213640