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135432220 = 22571187943
BaseRepresentation
bin10000001001010…
…00100000011100
3100102211200002011
420010220200130
5234132312340
621234441004
73233104060
oct1004504034
9312750064
10135432220
116a4a2260
1239433164
132209b211
1413db5aa0
15bd530ea
hex812881c

135432220 has 48 divisors (see below), whose sum is σ = 354590208. Its totient is φ = 42212160.

The previous prime is 135432169. The next prime is 135432221. The reversal of 135432220 is 22234531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 135432191 and 135432200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135432221) 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, 42432 + ... + 45511.

It is an arithmetic number, because the mean of its divisors is an integer number (7387296).

Almost surely, 2135432220 is an apocalyptic number.

135432220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135432220 is an abundant number, since it is smaller than the sum of its proper divisors (219157988).

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

135432220 is a wasteful number, since it uses less digits than its factorization.

135432220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87970 (or 87968 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 135432220 is about 11637.5349623535. The cubic root of 135432220 is about 513.5396717393.

Adding to 135432220 its reverse (22234531), we get a palindrome (157666751).

The spelling of 135432220 in words is "one hundred thirty-five million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 87943 175886 351772 439715 615601 879430 967373 1231202 1758860 1934746 2462404 3078005 3869492 4836865 6156010 6771611 9673730 12312020 13543222 19347460 27086444 33858055 67716110 135432220