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1128085380 = 22345696349
BaseRepresentation
bin100001100111101…
…0011011110000100
32220121200200020000
41003033103132010
54302242213010
6303534441300
736645365442
oct10317233604
92817620200
101128085380
11529858274
12275963230
1314c935356
14a9b6db92
15690827c0
hex433d3784

1128085380 has 60 divisors (see below), whose sum is σ = 3538850700. Its totient is φ = 300822336.

The previous prime is 1128085327. The next prime is 1128085397. The reversal of 1128085380 is 835808211.

1128085380 is a `hidden beast` number, since 112 + 8 + 0 + 8 + 538 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 701084484 + 427000896 = 26478^2 + 20664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 346555 + ... + 349794.

It is an arithmetic number, because the mean of its divisors is an integer number (58980845).

Almost surely, 21128085380 is an apocalyptic number.

1128085380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1128085380 is an abundant number, since it is smaller than the sum of its proper divisors (2410765320).

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

1128085380 is a wasteful number, since it uses less digits than its factorization.

1128085380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696370 (or 696359 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1128085380 is about 33586.9822996946. The cubic root of 1128085380 is about 1040.9918360944.

The spelling of 1128085380 in words is "one billion, one hundred twenty-eight million, eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 696349 1392698 2089047 2785396 3481745 4178094 6267141 6963490 8356188 10445235 12534282 13926980 18801423 20890470 25068564 31335705 37602846 41780940 56404269 62671410 75205692 94007115 112808538 125342820 188014230 225617076 282021345 376028460 564042690 1128085380