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662684640 = 253541151223
BaseRepresentation
bin100111011111111…
…100001111100000
31201011221212102120
4213133330033200
52324121402030
6145431344240
722264504122
oct4737741740
91634855376
10662684640
11310082862
12165b22080
13a73a57b7
1464023212
153d2a1010
hex277fc3e0

662684640 has 192 divisors, whose sum is σ = 2162184192. Its totient is φ = 170496000.

The previous prime is 662684639. The next prime is 662684647. The reversal of 662684640 is 46486266.

It is a junction number, because it is equal to n+sod(n) for n = 662684592 and 662684601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (662684647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2971569 + ... + 2971791.

It is an arithmetic number, because the mean of its divisors is an integer number (11261376).

Almost surely, 2662684640 is an apocalyptic number.

662684640 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 662684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081092096).

662684640 is an abundant number, since it is smaller than the sum of its proper divisors (1499499552).

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

662684640 is a wasteful number, since it uses less digits than its factorization.

662684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 662684640 is about 25742.6618670253. The cubic root of 662684640 is about 871.8376798558.

The spelling of 662684640 in words is "six hundred sixty-two million, six hundred eighty-four thousand, six hundred forty".