Base | Representation |
---|---|
bin | 100111011001110… |
… | …0100000110000000 |
3 | 10102010211200011100 |
4 | 1032303210012000 |
5 | 10201431440112 |
6 | 335110014400 |
7 | 44523001443 |
oct | 11663440600 |
9 | 3363750140 |
10 | 1322140032 |
11 | 61934a414 |
12 | 30a947400 |
13 | 180bba4a5 |
14 | c784565a |
15 | 7b1152dc |
hex | 4ece4180 |
1322140032 has 96 divisors (see below), whose sum is σ = 3834075960. Its totient is φ = 437299200.
The previous prime is 1322140019. The next prime is 1322140063. The reversal of 1322140032 is 2300412231.
1322140032 is a `hidden beast` number, since 13 + 221 + 400 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×13221400322 = 3496108528433922048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1322139987 and 1322140014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146532 + ... + 155292.
Almost surely, 21322140032 is an apocalyptic number.
1322140032 is a gapful number since it is divisible by the number (12) 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 1322140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917037980).
1322140032 is an abundant number, since it is smaller than the sum of its proper divisors (2511935928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1322140032 is a wasteful number, since it uses less digits than its factorization.
1322140032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8912 (or 8897 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 1322140032 is about 36361.2435430913. The cubic root of 1322140032 is about 1097.5538016011.
Adding to 1322140032 its reverse (2300412231), we get a palindrome (3622552263).
The spelling of 1322140032 in words is "one billion, three hundred twenty-two million, one hundred forty thousand, thirty-two".
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