Base | Representation |
---|---|
bin | 1111101111010… |
… | …10110111110000 |
3 | 100012110000122100 |
4 | 13313222313300 |
5 | 232300042112 |
6 | 21033540400 |
7 | 3162161604 |
oct | 767526760 |
9 | 305400570 |
10 | 132034032 |
11 | 68591139 |
12 | 38274700 |
13 | 2147b560 |
14 | 1376d504 |
15 | b8d12dc |
hex | 7deadf0 |
132034032 has 120 divisors (see below), whose sum is σ = 400943088. Its totient is φ = 40320000.
The previous prime is 132034031. The next prime is 132034069. The reversal of 132034032 is 230430231.
132034032 is a `hidden beast` number, since 1 + 320 + 340 + 3 + 2 = 666.
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 = 132033996 and 132034014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132034031) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469732 + ... + 470012.
Almost surely, 2132034032 is an apocalyptic number.
132034032 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 132034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200471544).
132034032 is an abundant number, since it is smaller than the sum of its proper divisors (268909056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132034032 is a wasteful number, since it uses less digits than its factorization.
132034032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 559 (or 550 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 132034032 is about 11490.6062503247. The cubic root of 132034032 is about 509.2080904805.
Adding to 132034032 its reverse (230430231), we get a palindrome (362464263).
The spelling of 132034032 in words is "one hundred thirty-two million, thirty-four thousand, thirty-two".
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