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1030783104 = 27331322943
BaseRepresentation
bin111101011100001…
…000000010000000
32122211121012121000
4331130020002000
54102340024404
6250141132000
734354340361
oct7534100200
92584535530
101030783104
1148993966a
1224925a000
13135727740
149ac81b68
1560762339
hex3d708080

1030783104 has 128 divisors (see below), whose sum is σ = 3276403200. Its totient is φ = 317150208.

The previous prime is 1030783097. The next prime is 1030783121. The reversal of 1030783104 is 4013870301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33457 + ... + 56399.

It is an arithmetic number, because the mean of its divisors is an integer number (25596900).

Almost surely, 21030783104 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 1030783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638201600).

1030783104 is an abundant number, since it is smaller than the sum of its proper divisors (2245620096).

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

1030783104 is a wasteful number, since it uses less digits than its factorization.

1030783104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22979 (or 22961 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1030783104 is about 32105.8110627967. The cubic root of 1030783104 is about 1010.1575103171.

The spelling of 1030783104 in words is "one billion, thirty million, seven hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 22943 44928 45886 68829 91772 137658 183544 206487 275316 298259 367088 412974 550632 596518 619461 734176 825948 894777 1101264 1193036 1238922 1468352 1651896 1789554 2202528 2386072 2477844 2684331 2936704 3303792 3579108 4405056 4772144 4955688 5368662 6607584 7158216 8052993 8810112 9544288 9911376 10737324 13215168 14316432 16105986 19088576 19822752 21474648 26430336 28632864 32211972 38177152 39645504 42949296 57265728 64423944 79291008 85898592 114531456 128847888 171797184 257695776 343594368 515391552 1030783104