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68790000 = 243542293
BaseRepresentation
bin1000001100110…
…10011011110000
311210102220010210
410012122123300
5120102240000
610454224120
71463463636
oct406323360
9153386123
1068790000
1135914a44
121b055040
1311336b56
1491c9356
15608c350
hex419a6f0

68790000 has 100 divisors (see below), whose sum is σ = 222160136. Its totient is φ = 18336000.

The previous prime is 68789977. The next prime is 68790011. The reversal of 68790000 is 9786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 68790000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28854 + ... + 31146.

Almost surely, 268790000 is an apocalyptic number.

68790000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111080068).

68790000 is an abundant number, since it is smaller than the sum of its proper divisors (153370136).

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

68790000 is a wasteful number, since it uses less digits than its factorization.

68790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 68790000 is about 8293.9737158976. The cubic root of 68790000 is about 409.7400692323.

Adding to 68790000 its reverse (9786), we get a palindrome (68799786).

The spelling of 68790000 in words is "sixty-eight million, seven hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2293 2500 3000 3750 4586 5000 6000 6879 7500 9172 10000 11465 13758 15000 18344 22930 27516 30000 34395 36688 45860 55032 57325 68790 91720 110064 114650 137580 171975 183440 229300 275160 286625 343950 458600 550320 573250 687900 859875 917200 1146500 1375800 1433125 1719750 2293000 2751600 2866250 3439500 4299375 4586000 5732500 6879000 8598750 11465000 13758000 17197500 22930000 34395000 68790000