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132534300 = 223523114251
BaseRepresentation
bin1111110011001…
…01000000011100
3100020101102212210
413321211000130
5232412044200
621052400420
73166344243
oct771450034
9306342783
10132534300
11688a2a88
1238476110
13215c5182
141385d95a
15b97e650
hex7e6501c

132534300 has 72 divisors (see below), whose sum is σ = 395863552. Its totient is φ = 34200000.

The previous prime is 132534293. The next prime is 132534307. The reversal of 132534300 is 3435231.

It is an interprime number because it is at equal distance from previous prime (132534293) and next prime (132534307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132534307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2175 + ... + 16425.

Almost surely, 2132534300 is an apocalyptic number.

132534300 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 132534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197931776).

132534300 is an abundant number, since it is smaller than the sum of its proper divisors (263329252).

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

132534300 is a wasteful number, since it uses less digits than its factorization.

132534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14299 (or 14292 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 132534300 is about 11512.3542336049. The cubic root of 132534300 is about 509.8503982582.

Adding to 132534300 its reverse (3435231), we get a palindrome (135969531).

The spelling of 132534300 in words is "one hundred thirty-two million, five hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 14251 28502 42753 57004 71255 85506 142510 171012 213765 285020 356275 427530 441781 712550 855060 883562 1068825 1325343 1425100 1767124 2137650 2208905 2650686 4275300 4417810 5301372 6626715 8835620 11044525 13253430 22089050 26506860 33133575 44178100 66267150 132534300