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135035384 = 231110115193
BaseRepresentation
bin10000000110001…
…11100111111000
3100102002111201112
420003013213320
5234032113014
621222135452
73226532111
oct1003074770
9312074645
10135035384
116a2510a0
1239281588
1321c8c6c3
1413d11208
15bcc573e
hex80c79f8

135035384 has 32 divisors (see below), whose sum is σ = 278961840. Its totient is φ = 60768000.

The previous prime is 135035377. The next prime is 135035389. The reversal of 135035384 is 483530531.

135035384 = T125 + T126 + ... + T932.

It is a self number, because there is not a number n which added to its sum of digits gives 135035384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135035389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1292 + ... + 16484.

Almost surely, 2135035384 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 135035384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139480920).

135035384 is an abundant number, since it is smaller than the sum of its proper divisors (143926456).

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

135035384 is a wasteful number, since it uses less digits than its factorization.

135035384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15311 (or 15307 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 135035384 is about 11620.4726237791. The cubic root of 135035384 is about 513.0375991907.

The spelling of 135035384 in words is "one hundred thirty-five million, thirty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 15193 30386 60772 121544 167123 334246 668492 1336984 1534493 3068986 6137972 12275944 16879423 33758846 67517692 135035384