Search a number
-
+
68720000 = 2754859
BaseRepresentation
bin1000001100010…
…01010110000000
311210022100010012
410012021112000
5120043020000
610452524052
71463052566
oct406112600
9153270105
1068720000
1135877398
121b020628
131131102b
1491aba36
156076735
hex4189580

68720000 has 80 divisors (see below), whose sum is σ = 171273300. Its totient is φ = 27456000.

The previous prime is 68719993. The next prime is 68720009. The reversal of 68720000 is 2786.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68720009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79571 + ... + 80429.

Almost surely, 268720000 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 68720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85636650).

68720000 is an abundant number, since it is smaller than the sum of its proper divisors (102553300).

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

68720000 is an frugal number, since it uses more digits than its factorization.

68720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 68720000 is about 8289.7527104251. The cubic root of 68720000 is about 409.6010396295.

Adding to 68720000 its reverse (2786), we get a palindrome (68722786).

The spelling of 68720000 in words is "sixty-eight million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 859 1000 1250 1600 1718 2000 2500 3200 3436 4000 4295 5000 6872 8000 8590 10000 13744 16000 17180 20000 21475 27488 34360 40000 42950 54976 68720 80000 85900 107375 109952 137440 171800 214750 274880 343600 429500 536875 549760 687200 859000 1073750 1374400 1718000 2147500 2748800 3436000 4295000 6872000 8590000 13744000 17180000 34360000 68720000