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135435984 = 2433776259
BaseRepresentation
bin10000001001010…
…01011011010000
3100102211212020120
420010221123100
5234132422414
621234510240
73233121045
oct1004513320
9312755216
10135435984
116a4a5072
1239435380
132209cb48
1413db71cc
15bd542a9
hex81296d0

135435984 has 40 divisors (see below), whose sum is σ = 359337120. Its totient is φ = 43924608.

The previous prime is 135435943. The next prime is 135436001. The reversal of 135435984 is 489534531.

135435984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 36354 + ... + 39905.

It is an arithmetic number, because the mean of its divisors is an integer number (8983428).

Almost surely, 2135435984 is an apocalyptic number.

It is an amenable number.

135435984 is an abundant number, since it is smaller than the sum of its proper divisors (223901136).

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

135435984 is a wasteful number, since it uses less digits than its factorization.

135435984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76307 (or 76301 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 135435984 is about 11637.6966793262. The cubic root of 135435984 is about 513.5444292124.

The spelling of 135435984 in words is "one hundred thirty-five million, four hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 76259 152518 228777 305036 457554 610072 915108 1220144 1830216 2821583 3660432 5643166 8464749 11286332 16929498 22572664 33858996 45145328 67717992 135435984