Search a number
-
+
1145542200 = 2335211374691
BaseRepresentation
bin100010001000111…
…1001011000111000
32221211112120110220
41010101321120320
54321224322300
6305400540040
740246643115
oct10421713070
92854476426
101145542200
115386a08a0
1227b781620
1315343802a
14ac1d590c
156a87eda0
hex44479638

1145542200 has 192 divisors, whose sum is σ = 3979566720. Its totient is φ = 270144000.

The previous prime is 1145542199. The next prime is 1145542201. The reversal of 1145542200 is 22455411.

It is an interprime number because it is at equal distance from previous prime (1145542199) and next prime (1145542201).

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 (1145542201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241855 + ... + 246545.

It is an arithmetic number, because the mean of its divisors is an integer number (20726910).

Almost surely, 21145542200 is an apocalyptic number.

1145542200 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 1145542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989783360).

1145542200 is an abundant number, since it is smaller than the sum of its proper divisors (2834024520).

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

1145542200 is a wasteful number, since it uses less digits than its factorization.

1145542200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1145542200 is about 33845.8594217963. The cubic root of 1145542200 is about 1046.3340638367.

Adding to 1145542200 its reverse (22455411), we get a palindrome (1167997611).

It can be divided in two parts, 1145 and 542200, that added together give a palindrome (543345).

The spelling of 1145542200 in words is "one billion, one hundred forty-five million, five hundred forty-two thousand, two hundred".