Search a number
-
+
68148096 = 2731031723
BaseRepresentation
bin1000000111111…
…01101110000000
311202020021121120
410003331232000
5114421214341
610432352240
71455151332
oct403755600
9152207546
1068148096
1135516745
121a9a5680
1311170923
14909d452
155eb2066
hex40fdb80

68148096 has 64 divisors (see below), whose sum is σ = 182881920. Its totient is φ = 22482432.

The previous prime is 68148083. The next prime is 68148133. The reversal of 68148096 is 69084186.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38691 + ... + 40413.

It is an arithmetic number, because the mean of its divisors is an integer number (2857530).

Almost surely, 268148096 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 68148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440960).

68148096 is an abundant number, since it is smaller than the sum of its proper divisors (114733824).

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

68148096 is a wasteful number, since it uses less digits than its factorization.

68148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 68148096 is about 8255.1860063841. The cubic root of 68148096 is about 408.4616074945.

The spelling of 68148096 in words is "sixty-eight million, one hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 1723 2472 3296 3446 4944 5169 6592 6892 9888 10338 13184 13784 19776 20676 27568 39552 41352 55136 82704 110272 165408 177469 220544 330816 354938 532407 661632 709876 1064814 1419752 2129628 2839504 4259256 5679008 8518512 11358016 17037024 22716032 34074048 68148096