Search a number
-
+
68579000 = 2353797101
BaseRepresentation
bin1000001011001…
…10111010111000
311210001011200222
410011212322320
5120024012000
610445515212
71461624530
oct405467270
9153034628
1068579000
1135790466
121ab72b08
1311291ab9
1491724c0
156049a85
hex4166eb8

68579000 has 128 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 23040000.

The previous prime is 68578981. The next prime is 68579011. The reversal of 68579000 is 97586.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678950 + ... + 679050.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 268579000 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 68579000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

68579000 is an abundant number, since it is smaller than the sum of its proper divisors (118546120).

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

68579000 is a wasteful number, since it uses less digits than its factorization.

68579000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 68579000 is about 8281.2438679223. The cubic root of 68579000 is about 409.3207074047.

The spelling of 68579000 in words is "sixty-eight million, five hundred seventy-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 101 125 140 175 194 200 202 250 280 350 388 404 485 500 505 679 700 707 776 808 875 970 1000 1010 1358 1400 1414 1750 1940 2020 2425 2525 2716 2828 3395 3500 3535 3880 4040 4850 5050 5432 5656 6790 7000 7070 9700 9797 10100 12125 12625 13580 14140 16975 17675 19400 19594 20200 24250 25250 27160 28280 33950 35350 39188 48500 48985 50500 67900 68579 70700 78376 84875 88375 97000 97970 101000 135800 137158 141400 169750 176750 195940 244925 274316 339500 342895 353500 391880 489850 548632 679000 685790 707000 979700 1224625 1371580 1714475 1959400 2449250 2743160 3428950 4898500 6857900 8572375 9797000 13715800 17144750 34289500 68579000