Search a number
-
+
68013008 = 24719311031
BaseRepresentation
bin1000000110111…
…00101111010000
311201222102022022
410003130233100
5114402404013
610425431012
71454046440
oct403345720
9151872268
1068013008
11354341a8
121a93b468
13111242ab
149066120
155e87008
hex40dcbd0

68013008 has 80 divisors (see below), whose sum is σ = 163799040. Its totient is φ = 26697600.

The previous prime is 68012983. The next prime is 68013037. The reversal of 68013008 is 80031086.

It is a Cunningham number, because it is equal to 82472-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65453 + ... + 66483.

It is an arithmetic number, because the mean of its divisors is an integer number (2047488).

Almost surely, 268013008 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 68013008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81899520).

68013008 is an abundant number, since it is smaller than the sum of its proper divisors (95786032).

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

68013008 is a wasteful number, since it uses less digits than its factorization.

68013008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 68013008 is about 8246.9999393719. Note that the first 4 decimals coincide. The cubic root of 68013008 is about 408.1915350860.

The spelling of 68013008 in words is "sixty-eight million, thirteen thousand, eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 868 1031 1064 1178 1736 2062 2128 2356 3472 4123 4124 4712 7217 8246 8248 9424 14434 16492 16496 19589 28868 31961 32984 39178 57736 63922 65968 78356 115472 127844 137123 156712 223727 255688 274246 313424 447454 511376 548492 607259 894908 1096984 1214518 1789816 2193968 2429036 3579632 4250813 4858072 8501626 9716144 17003252 34006504 68013008