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960104628 = 223272544277
BaseRepresentation
bin111001001110100…
…000100010110100
32110220121100221200
4321032200202310
53431241322003
6235134212500
732535516600
oct7116404264
92426540850
10960104628
11452a548aa
12229654130
13123bac162
1491724500
15594506a3
hex393a08b4

960104628 has 54 divisors (see below), whose sum is σ = 2823169986. Its totient is φ = 274315104.

The previous prime is 960104609. The next prime is 960104641. The reversal of 960104628 is 826401069.

960104628 is a `hidden beast` number, since 9 + 601 + 0 + 46 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 665020944 + 295083684 = 25788^2 + 17178^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 960104592 and 960104601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 270375 + ... + 273902.

Almost surely, 2960104628 is an apocalyptic number.

960104628 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

960104628 is an abundant number, since it is smaller than the sum of its proper divisors (1863065358).

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

960104628 is a wasteful number, since it uses less digits than its factorization.

960104628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544301 (or 544289 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 960104628 is about 30985.5551507473. Note that the first 3 decimals coincide. The cubic root of 960104628 is about 986.5206666021.

The spelling of 960104628 in words is "nine hundred sixty million, one hundred four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 544277 1088554 1632831 2177108 3265662 3809939 4898493 6531324 7619878 9796986 11429817 15239756 19593972 22859634 26669573 34289451 45719268 53339146 68578902 80008719 106678292 137157804 160017438 240026157 320034876 480052314 960104628