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132160300 = 225223371553
BaseRepresentation
bin1111110000010…
…01101100101100
3100012200102211221
413320021230230
5232313112200
621040353124
73163225666
oct770115454
9305612757
10132160300
1168667a98
12383157a4
13214c3b7c
14137a3536
15b90891a
hex7e09b2c

132160300 has 72 divisors (see below), whose sum is σ = 307542816. Its totient is φ = 49167360.

The previous prime is 132160297. The next prime is 132160307. The reversal of 132160300 is 3061231.

132160300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132160307) 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, 84324 + ... + 85876.

It is an arithmetic number, because the mean of its divisors is an integer number (4271428).

Almost surely, 2132160300 is an apocalyptic number.

132160300 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 132160300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153771408).

132160300 is an abundant number, since it is smaller than the sum of its proper divisors (175382516).

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

132160300 is a wasteful number, since it uses less digits than its factorization.

132160300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 132160300 is about 11496.0993384713. The cubic root of 132160300 is about 509.3703622848.

The spelling of 132160300 in words is "one hundred thirty-two million, one hundred sixty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 74 92 100 115 148 185 230 370 460 575 740 851 925 1150 1553 1702 1850 2300 3106 3404 3700 4255 6212 7765 8510 15530 17020 21275 31060 35719 38825 42550 57461 71438 77650 85100 114922 142876 155300 178595 229844 287305 357190 574610 714380 892975 1149220 1321603 1436525 1785950 2643206 2873050 3571900 5286412 5746100 6608015 13216030 26432060 33040075 66080150 132160300