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68835105 = 3254137309
BaseRepresentation
bin1000001101001…
…01011100100001
311210112012000100
410012211130201
5120110210410
610455213013
71464042303
oct406453441
9153465010
1068835105
1135945919
121b077169
1311351541
1491db973
15609a8c0
hex41a5721

68835105 has 24 divisors (see below), whose sum is σ = 122227560. Its totient is φ = 35815680.

The previous prime is 68835101. The next prime is 68835121. The reversal of 68835105 is 50153886.

68835105 is a `hidden beast` number, since 68 + 83 + 510 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77841 + 68757264 = 279^2 + 8292^2 .

It is not a de Polignac number, because 68835105 - 22 = 68835101 is a prime.

It is a super-2 number, since 2×688351052 = 9476543360722050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68835105.

It is not an unprimeable number, because it can be changed into a prime (68835101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16810 + ... + 20499.

It is an arithmetic number, because the mean of its divisors is an integer number (5092815).

Almost surely, 268835105 is an apocalyptic number.

It is an amenable number.

68835105 is a deficient number, since it is larger than the sum of its proper divisors (53392455).

68835105 is a wasteful number, since it uses less digits than its factorization.

68835105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37361 (or 37358 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 68835105 is about 8296.6924132452. The cubic root of 68835105 is about 409.8296039900.

The spelling of 68835105 in words is "sixty-eight million, eight hundred thirty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 37309 111927 186545 335781 559635 1529669 1678905 4589007 7648345 13767021 22945035 68835105