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730042560 = 2632513173137
BaseRepresentation
bin101011100000111…
…001000011000000
31212212201000010100
4223200321003000
52443342330220
6200235202400
724043154652
oct5340710300
91785630110
10730042560
113450a9865
121845a6400
13b832a860
146cd586d2
1544158d90
hex2b8390c0

730042560 has 672 divisors, whose sum is σ = 3035515392. Its totient is φ = 159252480.

The previous prime is 730042531. The next prime is 730042583. The reversal of 730042560 is 65240037.

It is a happy number.

It is a super-2 number, since 2×7300425602 = 1065924278822707200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19730862 + ... + 19730898.

It is an arithmetic number, because the mean of its divisors is an integer number (4517136).

Almost surely, 2730042560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517757696).

730042560 is an abundant number, since it is smaller than the sum of its proper divisors (2305472832).

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

730042560 is a wasteful number, since it uses less digits than its factorization.

730042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 730042560 is about 27019.2997688689. The cubic root of 730042560 is about 900.4288326741.

Adding to 730042560 its reverse (65240037), we get a palindrome (795282597).

The spelling of 730042560 in words is "seven hundred thirty million, forty-two thousand, five hundred sixty".