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1129675704 = 2331719433389
BaseRepresentation
bin100001101010101…
…0111101110111000
32220201200110201220
41003111113232320
54303144110304
6304032512040
736665041113
oct10325275670
92821613656
101129675704
1152a744093
122763ab620
13150071181
14aa06557a
1569298ad9
hex43557bb8

1129675704 has 128 divisors (see below), whose sum is σ = 3221856000. Its totient is φ = 327849984.

The previous prime is 1129675669. The next prime is 1129675709. The reversal of 1129675704 is 4075769211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129675709) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 331642 + ... + 335030.

It is an arithmetic number, because the mean of its divisors is an integer number (25170750).

Almost surely, 21129675704 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 1129675704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610928000).

1129675704 is an abundant number, since it is smaller than the sum of its proper divisors (2092180296).

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

1129675704 is a wasteful number, since it uses less digits than its factorization.

1129675704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 1129675704 is about 33610.6486697297. The cubic root of 1129675704 is about 1041.4807875462.

The spelling of 1129675704 in words is "one billion, one hundred twenty-nine million, six hundred seventy-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 43 51 57 68 76 86 102 114 129 136 152 172 204 228 258 323 344 408 456 516 646 731 817 969 1032 1292 1462 1634 1938 2193 2451 2584 2924 3268 3389 3876 4386 4902 5848 6536 6778 7752 8772 9804 10167 13556 13889 17544 19608 20334 27112 27778 40668 41667 55556 57613 64391 81336 83334 111112 115226 128782 145727 166668 172839 193173 230452 257564 291454 333336 345678 386346 437181 460904 515128 582908 691356 772692 874362 1094647 1165816 1382712 1545384 1748724 2189294 2477359 2768813 3283941 3497448 4378588 4954718 5537626 6567882 7432077 8306439 8757176 9909436 11075252 13135764 14864154 16612878 19818872 22150504 26271528 29728308 33225756 47069821 59456616 66451512 94139642 141209463 188279284 282418926 376558568 564837852 1129675704