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135546384 = 24331711283
BaseRepresentation
bin10000001010001…
…00011000010000
3100110001110200110
420011010120100
5234144441014
621241121320
73234060651
oct1005043020
9313043613
10135546384
116a570006
1239489240
132210b17c
1414005528
15bd76d59
hex8144610

135546384 has 80 divisors (see below), whose sum is σ = 366833664. Its totient is φ = 43075200.

The previous prime is 135546371. The next prime is 135546391. The reversal of 135546384 is 483645531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105007 + ... + 106289.

Almost surely, 2135546384 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 135546384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183416832).

135546384 is an abundant number, since it is smaller than the sum of its proper divisors (231287280).

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

135546384 is a wasteful number, since it uses less digits than its factorization.

135546384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 135546384 is about 11642.4389197453. The cubic root of 135546384 is about 513.6839290836.

The spelling of 135546384 in words is "one hundred thirty-five million, five hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 213 248 284 372 426 496 568 744 852 1136 1283 1488 1704 2201 2566 3408 3849 4402 5132 6603 7698 8804 10264 13206 15396 17608 20528 26412 30792 35216 39773 52824 61584 79546 91093 105648 119319 159092 182186 238638 273279 318184 364372 477276 546558 636368 728744 954552 1093116 1457488 1909104 2186232 2823883 4372464 5647766 8471649 11295532 16943298 22591064 33886596 45182128 67773192 135546384