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135510032 = 2477117041
BaseRepresentation
bin10000001001110…
…11100000010000
3100102222121211002
420010323200100
5234142310112
621240241132
73233546660
oct1004734020
9312877732
10135510032
116a545769
12394701a8
13220c7768
1413dd61a0
15bd6b1c2
hex813b810

135510032 has 40 divisors (see below), whose sum is σ = 304301952. Its totient is φ = 57254400.

The previous prime is 135510017. The next prime is 135510041. The reversal of 135510032 is 230015531.

It is a junction number, because it is equal to n+sod(n) for n = 135509986 and 135510013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569 + ... + 16472.

Almost surely, 2135510032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135510032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152150976).

135510032 is an abundant number, since it is smaller than the sum of its proper divisors (168791920).

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

135510032 is a wasteful number, since it uses less digits than its factorization.

135510032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17127 (or 17121 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 135510032 is about 11640.8776301446. The cubic root of 135510032 is about 513.6380035802.

Adding to 135510032 its reverse (230015531), we get a palindrome (365525563).

The spelling of 135510032 in words is "one hundred thirty-five million, five hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 17041 34082 68164 119287 136328 238574 272656 477148 954296 1209911 1908592 2419822 4839644 8469377 9679288 16938754 19358576 33877508 67755016 135510032