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960970560 = 2635111753101
BaseRepresentation
bin111001010001110…
…011111101000000
32110222020100210020
4321101303331000
53432002024220
6235204533440
732546054304
oct7121637500
92428210706
10960970560
11453496450
122299b1280
13124123344
14918abd04
1559572040
hex39473f40

960970560 has 448 divisors, whose sum is σ = 3626290944. Its totient is φ = 212992000.

The previous prime is 960970553. The next prime is 960970589. The reversal of 960970560 is 65079069.

960970560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9514510 + ... + 9514610.

Almost surely, 2960970560 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 960970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813145472).

960970560 is an abundant number, since it is smaller than the sum of its proper divisors (2665320384).

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

960970560 is a wasteful number, since it uses less digits than its factorization.

960970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 960970560 is about 30999.5251576536. The cubic root of 960970560 is about 986.8171631486.

The spelling of 960970560 in words is "nine hundred sixty million, nine hundred seventy thousand, five hundred sixty".