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68590000 = 2454193
BaseRepresentation
bin1000001011010…
…01100110110000
311210001201210101
410011221212300
5120024340000
610450042144
71462001563
oct405514660
9153051711
1068590000
1135798756
121ab79354
1311296acb
1491764da
15604ce6a
hex41699b0

68590000 has 100 divisors (see below), whose sum is σ = 175287640. Its totient is φ = 25992000.

The previous prime is 68589991. The next prime is 68590013. The reversal of 68590000 is 9586.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a super-3 number, since 3×685900003 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3609991 + ... + 3610009.

Almost surely, 268590000 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 68590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87643820).

68590000 is an abundant number, since it is smaller than the sum of its proper divisors (106697640).

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

68590000 is an frugal number, since it uses more digits than its factorization.

68590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 68590000 is about 8281.9079927273. The cubic root of 68590000 is about 409.3425911061.

Adding to 68590000 its reverse (9586), we get a palindrome (68599586).

The spelling of 68590000 in words is "sixty-eight million, five hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 361 380 400 475 500 625 722 760 950 1000 1250 1444 1520 1805 1900 2000 2375 2500 2888 3610 3800 4750 5000 5776 6859 7220 7600 9025 9500 10000 11875 13718 14440 18050 19000 23750 27436 28880 34295 36100 38000 45125 47500 54872 68590 72200 90250 95000 109744 137180 144400 171475 180500 190000 225625 274360 342950 361000 451250 548720 685900 722000 857375 902500 1371800 1714750 1805000 2743600 3429500 3610000 4286875 6859000 8573750 13718000 17147500 34295000 68590000