Search a number
-
+
68133096 = 2333615171
BaseRepresentation
bin1000000111110…
…10000011101000
311202012112001000
410003322003220
5114420224341
610432155000
71455056523
oct403720350
9152175030
1068133096
1135506449
121a998a60
1311166b55
149097bba
155eac8b6
hex40fa0e8

68133096 has 64 divisors (see below), whose sum is σ = 192398400. Its totient is φ = 22334400.

The previous prime is 68133089. The next prime is 68133097. The reversal of 68133096 is 69033186.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68133096.

It is not an unprimeable number, because it can be changed into a prime (68133097) 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 15 ways as a sum of consecutive naturals, for example, 10591 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (3006225).

Almost surely, 268133096 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 68133096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96199200).

68133096 is an abundant number, since it is smaller than the sum of its proper divisors (124265304).

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

68133096 is a wasteful number, since it uses less digits than its factorization.

68133096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 68133096 is about 8254.2774365780. The cubic root of 68133096 is about 408.4316366220.

The spelling of 68133096 in words is "sixty-eight million, one hundred thirty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 5171 6588 10342 13176 15513 20684 31026 41368 46539 62052 93078 124104 139617 186156 279234 315431 372312 558468 630862 946293 1116936 1261724 1892586 2523448 2838879 3785172 5677758 7570344 8516637 11355516 17033274 22711032 34066548 68133096