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135422784 = 2632733587
BaseRepresentation
bin10000001001001…
…10001101000000
3100102211012010200
420010212031000
5234132012114
621234325200
73233034420
oct1004461500
9312735120
10135422784
116a496162
1239429800
1322096b33
1413db2480
15bd50409
hex8126340

135422784 has 84 divisors (see below), whose sum is σ = 443630304. Its totient is φ = 38691072.

The previous prime is 135422743. The next prime is 135422789. The reversal of 135422784 is 487224531.

It is a happy number.

135422784 is a `hidden beast` number, since 1 + 354 + 227 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135422789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12762 + ... + 20825.

Almost surely, 2135422784 is an apocalyptic number.

135422784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135422784 is an abundant number, since it is smaller than the sum of its proper divisors (308207520).

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

135422784 is a wasteful number, since it uses less digits than its factorization.

135422784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33612 (or 33599 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 135422784 is about 11637.1295429758. The cubic root of 135422784 is about 513.5277448067.

The spelling of 135422784 in words is "one hundred thirty-five million, four hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 33587 67174 100761 134348 201522 235109 268696 302283 403044 470218 537392 604566 705327 806088 940436 1074784 1209132 1410654 1612176 1880872 2115981 2149568 2418264 2821308 3224352 3761744 4231962 4836528 5642616 6448704 7523488 8463924 9673056 11285232 15046976 16927848 19346112 22570464 33855696 45140928 67711392 135422784