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1020014304 = 25323479829
BaseRepresentation
bin111100110011000…
…010111011100000
32122002100002120120
4330303002323200
54042110424204
6245114240240
734163656431
oct7463027340
92562302516
101020014304
11483853931
12245726080
13133426c7a
149967b488
155e8366d9
hex3ccc2ee0

1020014304 has 96 divisors (see below), whose sum is σ = 2853688320. Its totient is φ = 318269952.

The previous prime is 1020014293. The next prime is 1020014323. The reversal of 1020014304 is 4034100201.

1020014304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 98862 + ... + 108690.

It is an arithmetic number, because the mean of its divisors is an integer number (29725920).

Almost surely, 21020014304 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 1020014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426844160).

1020014304 is an abundant number, since it is smaller than the sum of its proper divisors (1833674016).

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

1020014304 is a wasteful number, since it uses less digits than its factorization.

1020014304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9912 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1020014304 is about 31937.6627823640. The cubic root of 1020014304 is about 1006.6274150058.

Adding to 1020014304 its reverse (4034100201), we get a palindrome (5054114505).

The spelling of 1020014304 in words is "one billion, twenty million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 552 564 736 752 1081 1104 1128 1504 2162 2208 2256 3243 4324 4512 6486 8648 9829 12972 17296 19658 25944 29487 34592 39316 51888 58974 78632 103776 117948 157264 226067 235896 314528 452134 461963 471792 678201 904268 923926 943584 1356402 1385889 1808536 1847852 2712804 2771778 3617072 3695704 5425608 5543556 7234144 7391408 10625149 10851216 11087112 14782816 21250298 21702432 22174224 31875447 42500596 44348448 63750894 85001192 127501788 170002384 255003576 340004768 510007152 1020014304