Search a number
-
+
68203824 = 24313293769
BaseRepresentation
bin1000001000010…
…11010100110000
311202100010001120
410010023110300
5114430010244
610433502240
71455502653
oct404132460
9152303046
1068203824
11355545a7
121aa11980
13111900c0
1490b589a
155ec3819
hex410b530

68203824 has 80 divisors (see below), whose sum is σ = 196341600. Its totient is φ = 20256768.

The previous prime is 68203801. The next prime is 68203829. The reversal of 68203824 is 42830286.

It is not an unprimeable number, because it can be changed into a prime (68203829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16212 + ... + 19980.

It is an arithmetic number, because the mean of its divisors is an integer number (2454270).

Almost surely, 268203824 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 68203824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98170800).

68203824 is an abundant number, since it is smaller than the sum of its proper divisors (128137776).

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

68203824 is a wasteful number, since it uses less digits than its factorization.

68203824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 68203824 is about 8258.5606494110. The cubic root of 68203824 is about 408.5729167748.

The spelling of 68203824 in words is "sixty-eight million, two hundred three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 3769 4524 6032 7538 9048 11307 15076 18096 22614 30152 45228 48997 60304 90456 97994 109301 146991 180912 195988 218602 293982 327903 391976 437204 587964 655806 783952 874408 1175928 1311612 1420913 1748816 2351856 2623224 2841826 4262739 5246448 5683652 8525478 11367304 17050956 22734608 34101912 68203824