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68015844 = 2232131783103
BaseRepresentation
bin1000000110111…
…01011011100100
311201222120012100
410003131123210
5114403001334
610425452100
71454060631
oct403353344
9151876170
1068015844
1135436346
121a941030
1311125680
149067188
155e87c99
hex40dd6e4

68015844 has 144 divisors (see below), whose sum is σ = 200333952. Its totient is φ = 19270656.

The previous prime is 68015833. The next prime is 68015863. The reversal of 68015844 is 44851086.

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 = 68015799 and 68015808.

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 47 ways as a sum of consecutive naturals, for example, 660297 + ... + 660399.

It is an arithmetic number, because the mean of its divisors is an integer number (1391208).

Almost surely, 268015844 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 68015844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100166976).

68015844 is an abundant number, since it is smaller than the sum of its proper divisors (132318108).

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

68015844 is a wasteful number, since it uses less digits than its factorization.

68015844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68015844 is about 8247.1718788928. The cubic root of 68015844 is about 408.1972085846.

The spelling of 68015844 in words is "sixty-eight million, fifteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 83 102 103 117 153 156 166 204 206 221 234 249 306 309 332 412 442 468 498 612 618 663 747 884 927 996 1079 1236 1326 1339 1411 1494 1751 1854 1989 2158 2652 2678 2822 2988 3237 3502 3708 3978 4017 4233 4316 5253 5356 5644 6474 7004 7956 8034 8466 8549 9711 10506 12051 12699 12948 15759 16068 16932 17098 18343 19422 21012 22763 24102 25398 25647 31518 34196 36686 38844 45526 48204 50796 51294 55029 63036 68289 73372 76941 91052 102588 110058 111137 136578 145333 153882 165087 204867 220116 222274 273156 290666 307764 330174 333411 409734 435999 444548 581332 660348 666822 819468 871998 1000233 1307997 1333644 1743996 1889329 2000466 2615994 3778658 4000932 5231988 5667987 7557316 11335974 17003961 22671948 34007922 68015844