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5658640 = 245135441
BaseRepresentation
bin10101100101100000010000
3101122111012021
4111211200100
52422034030
6321141224
766045331
oct25454020
911574167
105658640
113215469
121a8a814
131231810
14a74288
1576b97a
hex565810

5658640 has 40 divisors (see below), whose sum is σ = 14170968. Its totient is φ = 2088960.

The previous prime is 5658623. The next prime is 5658643. The reversal of 5658640 is 468565.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 5326864 = 576^2 + 2308^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5658596 and 5658605.

It is not an unprimeable number, because it can be changed into a prime (5658643) 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, 1681 + ... + 3760.

Almost surely, 25658640 is an apocalyptic number.

It is an amenable number.

5658640 is an abundant number, since it is smaller than the sum of its proper divisors (8512328).

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

5658640 is a wasteful number, since it uses less digits than its factorization.

5658640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 5658640 is about 2378.7896081831. The cubic root of 5658640 is about 178.1984908610.

The spelling of 5658640 in words is "five million, six hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 5441 10882 21764 27205 43528 54410 70733 87056 108820 141466 217640 282932 353665 435280 565864 707330 1131728 1414660 2829320 5658640