Search a number
-
+
1450165200 = 2435211611801
BaseRepresentation
bin101011001101111…
…1100001111010000
310202001202000200020
41112123330033100
510432220241300
6355522023440
750636125611
oct12633741720
93661660606
101450165200
11684642640
123457a7b80
131a1594123
14da84dc08
15874a38a0
hex566fc3d0

1450165200 has 240 divisors, whose sum is σ = 5153604672. Its totient is φ = 345600000.

The previous prime is 1450165187. The next prime is 1450165207. The reversal of 1450165200 is 25610541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450165207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804300 + ... + 806100.

Almost surely, 21450165200 is an apocalyptic number.

1450165200 is a gapful number since it is divisible by the number (10) 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 1450165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576802336).

1450165200 is an abundant number, since it is smaller than the sum of its proper divisors (3703439472).

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

1450165200 is a wasteful number, since it uses less digits than its factorization.

1450165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1450165200 is about 38081.0346498096. The cubic root of 1450165200 is about 1131.8941786565.

Adding to 1450165200 its reverse (25610541), we get a palindrome (1475775741).

The spelling of 1450165200 in words is "one billion, four hundred fifty million, one hundred sixty-five thousand, two hundred".