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649368720 = 24325711131753
BaseRepresentation
bin100110101101001…
…001010010010000
31200020220100102100
4212231021102100
52312214244340
6144234120400
722043354160
oct4655112220
91606810370
10649368720
11303608370
12161580100
13a46c2860
14623585a0
153c020830
hex26b49490

649368720 has 960 divisors, whose sum is σ = 3158797824. Its totient is φ = 115015680.

The previous prime is 649368697. The next prime is 649368751. The reversal of 649368720 is 27863946.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12252214 + ... + 12252266.

Almost surely, 2649368720 is an apocalyptic number.

649368720 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 649368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912).

649368720 is an abundant number, since it is smaller than the sum of its proper divisors (2509429104).

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

649368720 is a wasteful number, since it uses less digits than its factorization.

649368720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 649368720 is about 25482.7141411585. The cubic root of 649368720 is about 865.9585840342.

The spelling of 649368720 in words is "six hundred forty-nine million, three hundred sixty-eight thousand, seven hundred twenty".