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68450000 = 2455372
BaseRepresentation
bin1000001010001…
…11011011010000
311202210121202012
410011013123100
5120010400000
610443042052
71460546453
oct405073320
9152717665
1068450000
1135702553
121ab10328
1311248178
14913b49a
156021735
hex41476d0

68450000 has 90 divisors (see below), whose sum is σ = 170368002. Its totient is φ = 26640000.

The previous prime is 68449999. The next prime is 68450003. The reversal of 68450000 is 5486.

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 can be written as a sum of positive squares in 9 ways, for example, as 53114944 + 15335056 = 7288^2 + 3916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68450003) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1849982 + ... + 1850018.

Almost surely, 268450000 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 68450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85184001).

68450000 is an abundant number, since it is smaller than the sum of its proper divisors (101918002).

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

68450000 is an frugal number, since it uses more digits than its factorization.

68450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 68450000 is about 8273.4515167492. The cubic root of 68450000 is about 409.0638964580.

Adding to 68450000 its reverse (5486), we get a palindrome (68455486).

The spelling of 68450000 in words is "sixty-eight million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1369 1480 1850 2000 2500 2738 2960 3125 3700 4625 5000 5476 6250 6845 7400 9250 10000 10952 12500 13690 14800 18500 21904 23125 25000 27380 34225 37000 46250 50000 54760 68450 74000 92500 109520 115625 136900 171125 185000 231250 273800 342250 370000 462500 547600 684500 855625 925000 1369000 1711250 1850000 2738000 3422500 4278125 6845000 8556250 13690000 17112500 34225000 68450000