Search a number
-
+
68081088 = 2631392551
BaseRepresentation
bin1000000111011…
…01010111000000
311202002212200210
410003231113000
5114412043323
610431114120
71454452065
oct403552700
9152085623
1068081088
1135480369
121a972940
131114928a
149082c6c
155e9c293
hex40ed5c0

68081088 has 56 divisors (see below), whose sum is σ = 181498240. Its totient is φ = 22521600.

The previous prime is 68081011. The next prime is 68081089. The reversal of 68081088 is 88018086.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68081089) 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 7 ways as a sum of consecutive naturals, for example, 25413 + ... + 27963.

It is an arithmetic number, because the mean of its divisors is an integer number (3241040).

Almost surely, 268081088 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 68081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90749120).

68081088 is an abundant number, since it is smaller than the sum of its proper divisors (113417152).

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

68081088 is a wasteful number, since it uses less digits than its factorization.

68081088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 68081088 is about 8251.1264685496. The cubic root of 68081088 is about 408.3276875336.

The spelling of 68081088 in words is "sixty-eight million, eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 2551 3336 4448 5102 6672 7653 8896 10204 13344 15306 20408 26688 30612 40816 61224 81632 122448 163264 244896 354589 489792 709178 1063767 1418356 2127534 2836712 4255068 5673424 8510136 11346848 17020272 22693696 34040544 68081088