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68090176 = 2671141337
BaseRepresentation
bin1000000111011…
…11100101000000
311202010100011101
410003233211000
5114412341201
610431224144
71454520430
oct403574500
9152110141
1068090176
1135487180
121a978054
131115045b
1490862c0
155e9ed01
hex40ef940

68090176 has 112 divisors (see below), whose sum is σ = 173077632. Its totient is φ = 25804800.

The previous prime is 68090159. The next prime is 68090177. The reversal of 68090176 is 67109086.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68090177) 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, 201880 + ... + 202216.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 268090176 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 68090176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538816).

68090176 is an abundant number, since it is smaller than the sum of its proper divisors (104987456).

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

68090176 is a wasteful number, since it uses less digits than its factorization.

68090176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 68090176 is about 8251.6771628560. The cubic root of 68090176 is about 408.3458556574.

The spelling of 68090176 in words is "sixty-eight million, ninety thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 154 164 176 224 287 308 328 337 352 448 451 574 616 656 674 704 902 1148 1232 1312 1348 1804 2296 2359 2464 2624 2696 3157 3608 3707 4592 4718 4928 5392 6314 7216 7414 9184 9436 10784 12628 13817 14432 14828 18368 18872 21568 25256 25949 27634 28864 29656 37744 50512 51898 55268 59312 75488 96719 101024 103796 110536 118624 150976 151987 193438 202048 207592 221072 237248 303974 386876 415184 442144 607948 773752 830368 884288 1063909 1215896 1547504 1660736 2127818 2431792 3095008 4255636 4863584 6190016 8511272 9727168 17022544 34045088 68090176