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73450000 = 245513113
BaseRepresentation
bin1000110000011…
…00001000010000
312010012122110101
410120030020100
5122300400000
611142142144
71551212641
oct430141020
9163178411
1073450000
1138508088
1220721954
13122a8c50
149a7d6c8
1566ace6a
hex460c210

73450000 has 120 divisors (see below), whose sum is σ = 193253256. Its totient is φ = 26880000.

The previous prime is 73449989. The next prime is 73450001. The reversal of 73450000 is 5437.

It can be written as a sum of positive squares in 12 ways, for example, as 57577744 + 15872256 = 7588^2 + 3984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73450000.

It is not an unprimeable number, because it can be changed into a prime (73450001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649944 + ... + 650056.

Almost surely, 273450000 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 73450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96626628).

73450000 is an abundant number, since it is smaller than the sum of its proper divisors (119803256).

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

73450000 is a wasteful number, since it uses less digits than its factorization.

73450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 73450000 is about 8570.2975444263. The cubic root of 73450000 is about 418.7909293921.

Adding to 73450000 its reverse (5437), we get a palindrome (73455437).

The spelling of 73450000 in words is "seventy-three million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 113 125 130 200 208 226 250 260 325 400 452 500 520 565 625 650 904 1000 1040 1130 1250 1300 1469 1625 1808 2000 2260 2500 2600 2825 2938 3125 3250 4520 5000 5200 5650 5876 6250 6500 7345 8125 9040 10000 11300 11752 12500 13000 14125 14690 16250 22600 23504 25000 26000 28250 29380 32500 36725 40625 45200 50000 56500 58760 65000 70625 73450 81250 113000 117520 130000 141250 146900 162500 183625 226000 282500 293800 325000 353125 367250 565000 587600 650000 706250 734500 918125 1130000 1412500 1469000 1836250 2825000 2938000 3672500 4590625 5650000 7345000 9181250 14690000 18362500 36725000 73450000