Base | Representation |
---|---|
bin | 1111101111000… |
… | …10110110110000 |
3 | 100012101100121100 |
4 | 13313202312300 |
5 | 232243014300 |
6 | 21033124400 |
7 | 3161664102 |
oct | 767426660 |
9 | 305340540 |
10 | 132001200 |
11 | 68569501 |
12 | 38259700 |
13 | 21469626 |
14 | 13761572 |
15 | b8c6700 |
hex | 7de2db0 |
132001200 has 180 divisors, whose sum is σ = 470936128. Its totient is φ = 34214400.
The previous prime is 132001183. The next prime is 132001213. The reversal of 132001200 is 2100231.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132705 + ... + 133695.
Almost surely, 2132001200 is an apocalyptic number.
132001200 is a gapful number since it is divisible by the number (10) 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 132001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468064).
132001200 is an abundant number, since it is smaller than the sum of its proper divisors (338934928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132001200 is a wasteful number, since it uses less digits than its factorization.
132001200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 132001200 is about 11489.1775162542. The cubic root of 132001200 is about 509.1658798835.
Adding to 132001200 its reverse (2100231), we get a palindrome (134101431).
It can be divided in two parts, 13200 and 1200, that added together give a square (14400 = 1202).
The spelling of 132001200 in words is "one hundred thirty-two million, one thousand, two hundred".
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