Search a number
-
+
1132033020 = 2235174110837
BaseRepresentation
bin100001101111001…
…0111001111111100
32220220010020100220
41003132113033330
54304300024040
6304155221340
740024056546
oct10336271774
92826106326
101132033020
11531004188
12277147850
131506b8131
14aa4ba696
15695b22d0
hex437973fc

1132033020 has 48 divisors (see below), whose sum is σ = 3171805728. Its totient is φ = 301674240.

The previous prime is 1132032997. The next prime is 1132033031. The reversal of 1132033020 is 203302311.

1132033020 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99042 + ... + 109878.

It is an arithmetic number, because the mean of its divisors is an integer number (66079286).

Almost surely, 21132033020 is an apocalyptic number.

1132033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132033020 is an abundant number, since it is smaller than the sum of its proper divisors (2039772708).

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

1132033020 is a wasteful number, since it uses less digits than its factorization.

1132033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12590 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1132033020 is about 33645.6983877583. The cubic root of 1132033020 is about 1042.2047102294.

Adding to 1132033020 its reverse (203302311), we get a palindrome (1335335331).

The spelling of 1132033020 in words is "one billion, one hundred thirty-two million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1741 3482 5223 6964 8705 10446 10837 17410 20892 21674 26115 32511 34820 43348 52230 54185 65022 104460 108370 130044 162555 216740 325110 650220 18867217 37734434 56601651 75468868 94336085 113203302 188672170 226406604 283008255 377344340 566016510 1132033020