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1059904416 = 25393711783
BaseRepresentation
bin111111001011001…
…101101110100000
32201212101201112010
4333023031232200
54132313420131
6253101232520
735160016224
oct7713155640
92655351463
101059904416
114a431996a
12256b62740
1313b78279c
14a0aa2784
15630b5b46
hex3f2cdba0

1059904416 has 48 divisors (see below), whose sum is σ = 2785454784. Its totient is φ = 352894464.

The previous prime is 1059904409. The next prime is 1059904427. The reversal of 1059904416 is 6144099501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10599044162 = 2246794742112602112, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 84061 + ... + 95843.

It is an arithmetic number, because the mean of its divisors is an integer number (58030308).

Almost surely, 21059904416 is an apocalyptic number.

1059904416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1059904416 is an abundant number, since it is smaller than the sum of its proper divisors (1725550368).

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

1059904416 is a wasteful number, since it uses less digits than its factorization.

1059904416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1059904416 is about 32556.1732394948. The cubic root of 1059904416 is about 1019.5821741198.

The spelling of 1059904416 in words is "one billion, fifty-nine million, nine hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 937 1874 2811 3748 5622 7496 11244 11783 14992 22488 23566 29984 35349 44976 47132 70698 89952 94264 141396 188528 282792 377056 565584 1131168 11040671 22081342 33122013 44162684 66244026 88325368 132488052 176650736 264976104 353301472 529952208 1059904416