Search a number
-
+
67230450 = 23252723049
BaseRepresentation
bin1000000000111…
…01101011110010
311200111122211200
410000131223302
5114202333300
610400552030
71444310100
oct400355362
9150448750
1067230450
1134a4a261
121a622616
1310c0c041
148d00c70
155d80200
hex401daf2

67230450 has 108 divisors (see below), whose sum is σ = 210184650. Its totient is φ = 15361920.

The previous prime is 67230433. The next prime is 67230463. The reversal of 67230450 is 5403276.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35319249 + 31911201 = 5943^2 + 5649^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20526 + ... + 23574.

Almost surely, 267230450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67230450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105092325).

67230450 is an abundant number, since it is smaller than the sum of its proper divisors (142954200).

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

67230450 is a wasteful number, since it uses less digits than its factorization.

67230450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 67230450 is about 8199.4176622489. The cubic root of 67230450 is about 406.6199407331.

The spelling of 67230450 in words is "sixty-seven million, two hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3049 3150 3675 4410 6098 7350 9147 11025 15245 18294 21343 22050 27441 30490 42686 45735 54882 64029 76225 91470 106715 128058 137205 149401 152450 192087 213430 228675 274410 298802 320145 384174 448203 457350 533575 640290 686025 747005 896406 960435 1067150 1344609 1372050 1494010 1600725 1920870 2241015 2689218 3201450 3735025 4482030 4802175 6723045 7470050 9604350 11205075 13446090 22410150 33615225 67230450