Search a number
-
+
1132883130 = 23537762771
BaseRepresentation
bin100001110000110…
…0110110010111010
32220221201102111110
41003201212302322
54310004230010
6304225341150
740034230161
oct10341466272
92827642443
101132883130
11531534955
122774977b6
13150925062
14aa65c3d8
15696ce120
hex43866cba

1132883130 has 16 divisors (see below), whose sum is σ = 2718919584. Its totient is φ = 302102160.

The previous prime is 1132883083. The next prime is 1132883137. The reversal of 1132883130 is 313882311.

1132883130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 37762771 = 1132883130 / (1 + 1 + 3 + 2 + 8 + 8 + 3 + 1 + 3 + 0).

It is not an unprimeable number, because it can be changed into a prime (1132883137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18881356 + ... + 18881415.

It is an arithmetic number, because the mean of its divisors is an integer number (169932474).

Almost surely, 21132883130 is an apocalyptic number.

1132883130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1132883130 is an abundant number, since it is smaller than the sum of its proper divisors (1586036454).

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

1132883130 is a wasteful number, since it uses less digits than its factorization.

1132883130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37762781.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1132883130 is about 33658.3292811750. The cubic root of 1132883130 is about 1042.4655291698.

The spelling of 1132883130 in words is "one billion, one hundred thirty-two million, eight hundred eighty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37762771 75525542 113288313 188813855 226576626 377627710 566441565 1132883130