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132420330 = 23257210191
BaseRepresentation
bin1111110010010…
…01001011101010
3100020011122112200
413321021023222
5232344422310
621050121030
73165361050
oct771111352
9306148480
10132420330
1168825399
1238420176
1321585333
14138301d0
15b95a9c0
hex7e492ea

132420330 has 48 divisors (see below), whose sum is σ = 393479424. Its totient is φ = 30267360.

The previous prime is 132420317. The next prime is 132420347. The reversal of 132420330 is 33024231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104466 + ... + 105725.

It is an arithmetic number, because the mean of its divisors is an integer number (8197488).

Almost surely, 2132420330 is an apocalyptic number.

132420330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132420330 is an abundant number, since it is smaller than the sum of its proper divisors (261059094).

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

132420330 is a wasteful number, since it uses less digits than its factorization.

132420330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210211 (or 210208 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132420330 is about 11507.4032692002. The cubic root of 132420330 is about 509.7042114120.

Adding to 132420330 its reverse (33024231), we get a palindrome (165444561).

The spelling of 132420330 in words is "one hundred thirty-two million, four hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 210191 420382 630573 1050955 1261146 1471337 1891719 2101910 2942674 3152865 3783438 4414011 6305730 7356685 8828022 9458595 13242033 14713370 18917190 22070055 26484066 44140110 66210165 132420330