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656423040 = 27357132172
BaseRepresentation
bin100111001000000…
…011100010000000
31200202011202010110
4213020003202000
52321021014130
6145045231320
722160334540
oct4710034200
91622152113
10656423040
11307596389
12163a02540
13a5cc2700
1463273320
153c965ab0
hex27203880

656423040 has 576 divisors, whose sum is σ = 2750621760. Its totient is φ = 130351104.

The previous prime is 656423029. The next prime is 656423041. The reversal of 656423040 is 40324656.

656423040 = T419 + T420 + ... + T1588.

656423040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 656422989 and 656423007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656423041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38613112 + ... + 38613128.

It is an arithmetic number, because the mean of its divisors is an integer number (4775385).

Almost surely, 2656423040 is an apocalyptic number.

656423040 is a gapful number since it is divisible by the number (60) 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 656423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375310880).

656423040 is an abundant number, since it is smaller than the sum of its proper divisors (2094198720).

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

656423040 is a wasteful number, since it uses less digits than its factorization.

656423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 656423040 is about 25620.7540872629. The cubic root of 656423040 is about 869.0830344015.

Adding to 656423040 its reverse (40324656), we get a palindrome (696747696).

The spelling of 656423040 in words is "six hundred fifty-six million, four hundred twenty-three thousand, forty".