Search a number
-
+
1132204050 = 232526533853
BaseRepresentation
bin100001101111100…
…0001000000010010
32220220102220222100
41003133001000102
54304321012200
6304203021230
740025401305
oct10337010022
92826386870
101132204050
1153111072a
1227720a816
13150747c33
14aa522b3c
15695e7d00
hex437c1012

1132204050 has 72 divisors (see below), whose sum is σ = 3047303844. Its totient is φ = 301380480.

The previous prime is 1132203973. The next prime is 1132204057. The reversal of 1132204050 is 504022311.

It can be written as a sum of positive squares in 6 ways, for example, as 635493681 + 496710369 = 25209^2 + 22287^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1132204057) 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 35 ways as a sum of consecutive naturals, for example, 291924 + ... + 295776.

Almost surely, 21132204050 is an apocalyptic number.

1132204050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132204050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523651922).

1132204050 is an abundant number, since it is smaller than the sum of its proper divisors (1915099794).

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

1132204050 is a wasteful number, since it uses less digits than its factorization.

1132204050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1132204050 is about 33648.2399242516. The cubic root of 1132204050 is about 1042.2571937678.

Adding to 1132204050 its reverse (504022311), we get a palindrome (1636226361).

The spelling of 1132204050 in words is "one billion, one hundred thirty-two million, two hundred four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 653 1306 1959 3265 3853 3918 5877 6530 7706 9795 11559 11754 16325 19265 19590 23118 29385 32650 34677 38530 48975 57795 58770 69354 96325 97950 115590 146925 173385 192650 288975 293850 346770 577950 866925 1733850 2516009 5032018 7548027 12580045 15096054 22644081 25160090 37740135 45288162 62900225 75480270 113220405 125800450 188700675 226440810 377401350 566102025 1132204050