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4290640 = 24553633
BaseRepresentation
bin10000010111100001010000
322001222122121
4100113201100
52044300030
6231544024
751320104
oct20274120
98058577
104290640
112470692
12152b014
13b72c53
147d9904
1559b47a
hex417850

4290640 has 20 divisors (see below), whose sum is σ = 9975924. Its totient is φ = 1716224.

The previous prime is 4290553. The next prime is 4290641. The reversal of 4290640 is 460924.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 3225616 = 1032^2 + 1796^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26737 + ... + 26896.

Almost surely, 24290640 is an apocalyptic number.

4290640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4290640 is an abundant number, since it is smaller than the sum of its proper divisors (5685284).

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

4290640 is a wasteful number, since it uses less digits than its factorization.

4290640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53646 (or 53640 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4290640 is about 2071.3860094150. The cubic root of 4290640 is about 162.4952582443.

The spelling of 4290640 in words is "four million, two hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 53633 107266 214532 268165 429064 536330 858128 1072660 2145320 4290640