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132300210 = 2357679403
BaseRepresentation
bin1111110001010…
…11110110110010
3100012221112202210
413320223312302
5232332101320
621043352550
73164350620
oct770536662
9305845683
10132300210
1168753119
1238382756
1321542763
14137dc510
15b9350e0
hex7e2bdb2

132300210 has 64 divisors (see below), whose sum is σ = 368335872. Its totient is φ = 29785536.

The previous prime is 132300199. The next prime is 132300227. The reversal of 132300210 is 12003231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9369 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (5755248).

Almost surely, 2132300210 is an apocalyptic number.

132300210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132300210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184167936).

132300210 is an abundant number, since it is smaller than the sum of its proper divisors (236035662).

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

132300210 is a wasteful number, since it uses less digits than its factorization.

132300210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132300210 is about 11502.1828363142. The cubic root of 132300210 is about 509.5500452755.

Adding to 132300210 its reverse (12003231), we get a palindrome (144303441).

The spelling of 132300210 in words is "one hundred thirty-two million, three hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 9403 14070 18806 28209 47015 56418 65821 94030 131642 141045 197463 282090 329105 394926 630001 658210 987315 1260002 1890003 1974630 3150005 3780006 4410007 6300010 8820014 9450015 13230021 18900030 22050035 26460042 44100070 66150105 132300210