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960000064 = 26173128463
BaseRepresentation
bin111001001110000…
…111000001000000
32110220102001111221
4321032013001000
53431230000224
6235132044424
732534603002
oct7116070100
92426361457
10960000064
11452993291
12229603714
13123b7369a
14916d8372
155942e6e4
hex39387040

960000064 has 56 divisors (see below), whose sum is σ = 2082198528. Its totient is φ = 437176320.

The previous prime is 960000043. The next prime is 960000071. The reversal of 960000064 is 460000069.

It is a junction number, because it is equal to n+sod(n) for n = 959999993 and 960000038.

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 7 ways as a sum of consecutive naturals, for example, 19497 + ... + 47959.

Almost surely, 2960000064 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 960000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041099264).

960000064 is an abundant number, since it is smaller than the sum of its proper divisors (1122198464).

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

960000064 is a wasteful number, since it uses less digits than its factorization.

960000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28523 (or 28513 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 960000064 is about 30983.8678024549. The cubic root of 960000064 is about 986.4848516541.

The spelling of 960000064 in words is "nine hundred sixty million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1984 2108 4216 8432 16864 28463 33728 56926 113852 227704 455408 483871 882353 910816 967742 1764706 1821632 1935484 3529412 3870968 7058824 7741936 14117648 15000001 15483872 28235296 30000002 30967744 56470592 60000004 120000008 240000016 480000032 960000064