Search a number
-
+
68159728 = 247133277
BaseRepresentation
bin1000001000000…
…00100011110000
311202020212120101
410010000203300
5114422102403
610432522144
71455230260
oct404004360
9152225511
1068159728
113552445a
121a9b0354
1311176000
1490a37a0
155eb571d
hex41008f0

68159728 has 80 divisors (see below), whose sum is σ = 164086720. Its totient is φ = 26866944.

The previous prime is 68159659. The next prime is 68159737. The reversal of 68159728 is 82795186.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245926 + ... + 246202.

It is an arithmetic number, because the mean of its divisors is an integer number (2051084).

Almost surely, 268159728 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 68159728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82043360).

68159728 is an abundant number, since it is smaller than the sum of its proper divisors (95926992).

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

68159728 is a wasteful number, since it uses less digits than its factorization.

68159728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 299 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 68159728 is about 8255.8905031499. The cubic root of 68159728 is about 408.4848458797.

The spelling of 68159728 in words is "sixty-eight million, one hundred fifty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 277 338 364 554 676 728 1108 1183 1352 1456 1939 2197 2216 2366 2704 3601 3878 4394 4432 4732 7202 7756 8788 9464 14404 15379 15512 17576 18928 25207 28808 30758 31024 35152 46813 50414 57616 61516 93626 100828 123032 187252 201656 246064 327691 374504 403312 608569 655382 749008 1217138 1310764 2434276 2621528 4259983 4868552 5243056 8519966 9737104 17039932 34079864 68159728