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68001153 = 3112376183
BaseRepresentation
bin1000000110110…
…01110110000001
311201221211001020
410003121312001
5114402014103
610425300053
71454000043
oct403316601
9151854036
1068001153
1135426300
121a934629
131111ba8c
149061a93
155e83753
hex40d9d81

68001153 has 48 divisors (see below), whose sum is σ = 105284928. Its totient is φ = 38966400.

The previous prime is 68001149. The next prime is 68001161. The reversal of 68001153 is 35110086.

It is not a de Polignac number, because 68001153 - 22 = 68001149 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68001113) 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 47 ways as a sum of consecutive naturals, for example, 819250 + ... + 819332.

It is an arithmetic number, because the mean of its divisors is an integer number (2193436).

Almost surely, 268001153 is an apocalyptic number.

It is an amenable number.

68001153 is a deficient number, since it is larger than the sum of its proper divisors (37283775).

68001153 is a wasteful number, since it uses less digits than its factorization.

68001153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 68001153 is about 8246.2811618329. The cubic root of 68001153 is about 408.1678171142.

The spelling of 68001153 in words is "sixty-eight million, one thousand, one hundred fifty-three".

Divisors: 1 3 11 33 37 61 83 111 121 183 249 363 407 671 913 1221 2013 2257 2739 3071 4477 5063 6771 7381 9213 10043 13431 15189 22143 24827 30129 33781 55693 74481 101343 167079 187331 273097 371591 561993 612623 819291 1114773 1837869 2060641 6181923 22667051 68001153