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650078640 = 2432517173307
BaseRepresentation
bin100110101111110…
…110100110110000
31200022020102020200
4212233312212300
52312410004030
6144301235200
722052402001
oct4657664660
91608212220
10650078640
11303a52782
12161862b00
13a48b0a23
14624a11a8
153c110d60
hex26bf69b0

650078640 has 240 divisors, whose sum is σ = 2332538208. Its totient is φ = 161685504.

The previous prime is 650078633. The next prime is 650078669. The reversal of 650078640 is 46870056.

It is a happy number.

650078640 is a `hidden beast` number, since 6 + 5 + 0 + 0 + 7 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 650078595 and 650078604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2117367 + ... + 2117673.

Almost surely, 2650078640 is an apocalyptic number.

650078640 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 650078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166269104).

650078640 is an abundant number, since it is smaller than the sum of its proper divisors (1682459568).

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

650078640 is a wasteful number, since it uses less digits than its factorization.

650078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 650078640 is about 25496.6397786061. The cubic root of 650078640 is about 866.2740378005.

The spelling of 650078640 in words is "six hundred fifty million, seventy-eight thousand, six hundred forty".