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135235240 = 23573111553
BaseRepresentation
bin10000000111110…
…00011010101000
3100102110122212121
420003320122220
5234110011430
621230321024
73231323560
oct1003703250
9312418777
10135235240
116a378268
1239359174
132202c66a
1413d63da0
15bd14a7a
hex80f86a8

135235240 has 64 divisors (see below), whose sum is σ = 349090560. Its totient is φ = 46187520.

The previous prime is 135235223. The next prime is 135235241. The reversal of 135235240 is 42532531.

It is not an unprimeable number, because it can be changed into a prime (135235241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86304 + ... + 87856.

It is an arithmetic number, because the mean of its divisors is an integer number (5454540).

Almost surely, 2135235240 is an apocalyptic number.

135235240 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 135235240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280).

135235240 is an abundant number, since it is smaller than the sum of its proper divisors (213855320).

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

135235240 is a wasteful number, since it uses less digits than its factorization.

135235240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 135235240 is about 11629.0687503342. The cubic root of 135235240 is about 513.2905775750.

Adding to 135235240 its reverse (42532531), we get a palindrome (177767771).

The spelling of 135235240 in words is "one hundred thirty-five million, two hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 311 622 1244 1553 1555 2177 2488 3106 3110 4354 6212 6220 7765 8708 10871 10885 12424 12440 15530 17416 21742 21770 31060 43484 43540 54355 62120 86968 87080 108710 217420 434840 482983 965966 1931932 2414915 3380881 3863864 4829830 6761762 9659660 13523524 16904405 19319320 27047048 33808810 67617620 135235240