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135447928 = 237113141173
BaseRepresentation
bin10000001001011…
…00010101111000
3100102212110121221
420010230111320
5234133313203
621235041424
73233200630
oct1004542570
9312773557
10135447928
116a503040
1239440274
13220a5405
1413dbb6c0
15bd57abd
hex812c578

135447928 has 128 divisors (see below), whose sum is σ = 336752640. Its totient is φ = 49536000.

The previous prime is 135447899. The next prime is 135447931. The reversal of 135447928 is 829744531.

It is a super-2 number, since 2×1354479282 = 36692282398986368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782850 + ... + 783022.

It is an arithmetic number, because the mean of its divisors is an integer number (2630880).

Almost surely, 2135447928 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 135447928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320).

135447928 is an abundant number, since it is smaller than the sum of its proper divisors (201304712).

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

135447928 is a wasteful number, since it uses less digits than its factorization.

135447928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 135447928 is about 11638.2098279761. The cubic root of 135447928 is about 513.5595251373.

The spelling of 135447928 in words is "one hundred thirty-five million, four hundred forty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 31 41 44 56 62 77 82 88 124 154 164 173 217 248 287 308 328 341 346 434 451 574 616 682 692 868 902 1148 1211 1271 1364 1384 1736 1804 1903 2296 2387 2422 2542 2728 3157 3608 3806 4774 4844 5084 5363 6314 7093 7612 8897 9548 9688 10168 10726 12628 13321 13981 14186 15224 17794 19096 21452 25256 26642 27962 28372 35588 37541 42904 49651 53284 55924 56744 58993 71176 75082 78023 97867 99302 106568 111848 117986 150164 156046 195734 198604 219883 235972 300328 312092 391468 397208 412951 439766 471944 546161 624184 782936 825902 879532 1092322 1539181 1651804 1759064 2184644 2418713 3078362 3303608 4369288 4837426 6156724 9674852 12313448 16930991 19349704 33861982 67723964 135447928