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68490000 = 243254761
BaseRepresentation
bin1000001010100…
…01001100010000
311202212122121200
410011101030100
5120013140000
610443551200
71461104205
oct405211420
9152778550
1068490000
113572a607
121ab2b500
1311260437
14914bcac
15602d500
hex4151310

68490000 has 150 divisors (see below), whose sum is σ = 239834166. Its totient is φ = 18240000.

The previous prime is 68489983. The next prime is 68490017. The reversal of 68490000 is 9486.

It is an interprime number because it is at equal distance from previous prime (68489983) and next prime (68490017).

It can be written as a sum of positive squares in 5 ways, for example, as 51151104 + 17338896 = 7152^2 + 4164^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89620 + ... + 90380.

Almost surely, 268490000 is an apocalyptic number.

68490000 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 68490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119917083).

68490000 is an abundant number, since it is smaller than the sum of its proper divisors (171344166).

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

68490000 is a wasteful number, since it uses less digits than its factorization.

68490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68490000 is about 8275.8685344802. The cubic root of 68490000 is about 409.1435622464.

Adding to 68490000 its reverse (9486), we get a palindrome (68499486).

The spelling of 68490000 in words is "sixty-eight million, four hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 761 900 1000 1125 1200 1250 1500 1522 1800 1875 2000 2250 2283 2500 3000 3044 3600 3750 3805 4500 4566 5000 5625 6000 6088 6849 7500 7610 9000 9132 10000 11250 11415 12176 13698 15000 15220 18000 18264 19025 22500 22830 27396 30000 30440 34245 36528 38050 45000 45660 54792 57075 60880 68490 76100 90000 91320 95125 109584 114150 136980 152200 171225 182640 190250 228300 273960 285375 304400 342450 380500 456600 475625 547920 570750 684900 761000 856125 913200 951250 1141500 1369800 1426875 1522000 1712250 1902500 2283000 2739600 2853750 3424500 3805000 4280625 4566000 5707500 6849000 7610000 8561250 11415000 13698000 17122500 22830000 34245000 68490000