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132020220 = 223516313499
BaseRepresentation
bin1111101111001…
…11011111111100
3100012102022200210
413313213133330
5232244121340
621033352420
73162103413
oct767473774
9305368623
10132020220
1168581822
1238268710
1321475197
141376847a
15b8cc180
hex7de77fc

132020220 has 48 divisors (see below), whose sum is σ = 371952000. Its totient is φ = 34986816.

The previous prime is 132020219. The next prime is 132020221. The reversal of 132020220 is 22020231.

It is an interprime number because it is at equal distance from previous prime (132020219) and next prime (132020221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132020196 and 132020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (7749000).

Almost surely, 2132020220 is an apocalyptic number.

132020220 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 132020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976000).

132020220 is an abundant number, since it is smaller than the sum of its proper divisors (239931780).

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

132020220 is a wasteful number, since it uses less digits than its factorization.

132020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13674 (or 13672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132020220 is about 11490.0052219309. The cubic root of 132020220 is about 509.1903338782.

Adding to 132020220 its reverse (22020231), we get a palindrome (154040451).

The spelling of 132020220 in words is "one hundred thirty-two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 13499 26998 40497 53996 67495 80994 134990 161988 202485 269980 404970 809940 2200337 4400674 6601011 8801348 11001685 13202022 22003370 26404044 33005055 44006740 66010110 132020220