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135032384 = 2643139353
BaseRepresentation
bin10000000110001…
…10111001000000
3100102002100121102
420003012321000
5234032014014
621222113532
73226520264
oct1003067100
9312070542
10135032384
116a249913
123927b8a8
1321c8b226
1413d100a4
15bcc48de
hex80c6e40

135032384 has 56 divisors (see below), whose sum is σ = 276941280. Its totient is φ = 65286144.

The previous prime is 135032383. The next prime is 135032399. The reversal of 135032384 is 483230531.

It is not an unprimeable number, because it can be changed into a prime (135032383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382352 + ... + 382704.

It is an arithmetic number, because the mean of its divisors is an integer number (4945380).

Almost surely, 2135032384 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 135032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138470640).

135032384 is an abundant number, since it is smaller than the sum of its proper divisors (141908896).

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

135032384 is a wasteful number, since it uses less digits than its factorization.

135032384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 135032384 is about 11620.3435405327. The cubic root of 135032384 is about 513.0337998799.

The spelling of 135032384 in words is "one hundred thirty-five million, thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 64 86 139 172 278 344 353 556 688 706 1112 1376 1412 2224 2752 2824 4448 5648 5977 8896 11296 11954 15179 22592 23908 30358 47816 49067 60716 95632 98134 121432 191264 196268 242864 382528 392536 485728 785072 971456 1570144 2109881 3140288 4219762 8439524 16879048 33758096 67516192 135032384